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Finding the Fourth Proportional to 3,591.84, 5,386.80 and 2,421.16

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Solution

The fourth proportional to 3,591.84, 5,386.80 and 2,421.16 is: 3,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.84 : 5,386.80 = 2,421.16 : x
  2. Step 2: Convert to fraction form
    3,591.84/5,386.80 = 2,421.16/x
  3. Step 3: Cross multiply
    3,591.84x = 5,386.80 × 2,421.16
  4. Step 4: Simplify right side
    3,591.84x = 13,042,304.69
  5. Step 5: Solve for x
    x = 13,042,304.69/3,591.84
  6. Step 6: Final answer
    x = 3,631.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.