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Finding the Fourth Proportional to 5,938.93, 8,901.10 and 5,209.93

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Solution

The fourth proportional to 5,938.93, 8,901.10 and 5,209.93 is: 7,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.93 : 8,901.10 = 5,209.93 : x
  2. Step 2: Convert to fraction form
    5,938.93/8,901.10 = 5,209.93/x
  3. Step 3: Cross multiply
    5,938.93x = 8,901.10 × 5,209.93
  4. Step 4: Simplify right side
    5,938.93x = 46,374,107.92
  5. Step 5: Solve for x
    x = 46,374,107.92/5,938.93
  6. Step 6: Final answer
    x = 7,808.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.