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Finding the Fourth Proportional to 5,641,353.63, 7,784,988.13 and 3,193,901.07

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Solution

The fourth proportional to 5,641,353.63, 7,784,988.13 and 3,193,901.07 is: 4,407,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641,353.63 : 7,784,988.13 = 3,193,901.07 : x
  2. Step 2: Convert to fraction form
    5,641,353.63/7,784,988.13 = 3,193,901.07/x
  3. Step 3: Cross multiply
    5,641,353.63x = 7,784,988.13 × 3,193,901.07
  4. Step 4: Simplify right side
    5,641,353.63x = 24,864,481,918,344.30
  5. Step 5: Solve for x
    x = 24,864,481,918,344.30/5,641,353.63
  6. Step 6: Final answer
    x = 4,407,538.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.