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Finding the Fourth Proportional to 4,269.68, 5,888.31 and 3,642.47

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Solution

The fourth proportional to 4,269.68, 5,888.31 and 3,642.47 is: 5,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.68 : 5,888.31 = 3,642.47 : x
  2. Step 2: Convert to fraction form
    4,269.68/5,888.31 = 3,642.47/x
  3. Step 3: Cross multiply
    4,269.68x = 5,888.31 × 3,642.47
  4. Step 4: Simplify right side
    4,269.68x = 21,447,963.08
  5. Step 5: Solve for x
    x = 21,447,963.08/4,269.68
  6. Step 6: Final answer
    x = 5,023.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.