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Finding the Fourth Proportional to 5,225.78, 7,207.14 and 3,718.40

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Solution

The fourth proportional to 5,225.78, 7,207.14 and 3,718.40 is: 5,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.78 : 7,207.14 = 3,718.40 : x
  2. Step 2: Convert to fraction form
    5,225.78/7,207.14 = 3,718.40/x
  3. Step 3: Cross multiply
    5,225.78x = 7,207.14 × 3,718.40
  4. Step 4: Simplify right side
    5,225.78x = 26,799,029.38
  5. Step 5: Solve for x
    x = 26,799,029.38/5,225.78
  6. Step 6: Final answer
    x = 5,128.24

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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.