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Finding the Fourth Proportional to 3,904.53, 5,386.62 and 2,560.47

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Solution

The fourth proportional to 3,904.53, 5,386.62 and 2,560.47 is: 3,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.53 : 5,386.62 = 2,560.47 : x
  2. Step 2: Convert to fraction form
    3,904.53/5,386.62 = 2,560.47/x
  3. Step 3: Cross multiply
    3,904.53x = 5,386.62 × 2,560.47
  4. Step 4: Simplify right side
    3,904.53x = 13,792,278.91
  5. Step 5: Solve for x
    x = 13,792,278.91/3,904.53
  6. Step 6: Final answer
    x = 3,532.38

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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.