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Finding the Fourth Proportional to 4,578.16, 6,854.16 and 4,287.54

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Solution

The fourth proportional to 4,578.16, 6,854.16 and 4,287.54 is: 6,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.16 : 6,854.16 = 4,287.54 : x
  2. Step 2: Convert to fraction form
    4,578.16/6,854.16 = 4,287.54/x
  3. Step 3: Cross multiply
    4,578.16x = 6,854.16 × 4,287.54
  4. Step 4: Simplify right side
    4,578.16x = 29,387,485.17
  5. Step 5: Solve for x
    x = 29,387,485.17/4,578.16
  6. Step 6: Final answer
    x = 6,419.06

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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.