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Finding the Fourth Proportional to 4,308.84, 6,463.62 and 1,537.02

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Solution

The fourth proportional to 4,308.84, 6,463.62 and 1,537.02 is: 2,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.84 : 6,463.62 = 1,537.02 : x
  2. Step 2: Convert to fraction form
    4,308.84/6,463.62 = 1,537.02/x
  3. Step 3: Cross multiply
    4,308.84x = 6,463.62 × 1,537.02
  4. Step 4: Simplify right side
    4,308.84x = 9,934,713.21
  5. Step 5: Solve for x
    x = 9,934,713.21/4,308.84
  6. Step 6: Final answer
    x = 2,305.66

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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.