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Finding the Fourth Proportional to 4,552.61, 6,829.29 and 1,265.71

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Solution

The fourth proportional to 4,552.61, 6,829.29 and 1,265.71 is: 1,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.61 : 6,829.29 = 1,265.71 : x
  2. Step 2: Convert to fraction form
    4,552.61/6,829.29 = 1,265.71/x
  3. Step 3: Cross multiply
    4,552.61x = 6,829.29 × 1,265.71
  4. Step 4: Simplify right side
    4,552.61x = 8,643,860.17
  5. Step 5: Solve for x
    x = 8,643,860.17/4,552.61
  6. Step 6: Final answer
    x = 1,898.66

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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.