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Finding the Fourth Proportional to 5,070.40, 7,606 and 1,784.23

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Solution

The fourth proportional to 5,070.40, 7,606 and 1,784.23 is: 2,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.40 : 7,606 = 1,784.23 : x
  2. Step 2: Convert to fraction form
    5,070.40/7,606 = 1,784.23/x
  3. Step 3: Cross multiply
    5,070.40x = 7,606 × 1,784.23
  4. Step 4: Simplify right side
    5,070.40x = 13,570,853.38
  5. Step 5: Solve for x
    x = 13,570,853.38/5,070.40
  6. Step 6: Final answer
    x = 2,676.49

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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.