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Finding the Fourth Proportional to 5,531.59, 7,643.31 and 4,421.69

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Solution

The fourth proportional to 5,531.59, 7,643.31 and 4,421.69 is: 6,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.59 : 7,643.31 = 4,421.69 : x
  2. Step 2: Convert to fraction form
    5,531.59/7,643.31 = 4,421.69/x
  3. Step 3: Cross multiply
    5,531.59x = 7,643.31 × 4,421.69
  4. Step 4: Simplify right side
    5,531.59x = 33,796,347.39
  5. Step 5: Solve for x
    x = 33,796,347.39/5,531.59
  6. Step 6: Final answer
    x = 6,109.70

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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.