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Finding the Fourth Proportional to 4,617.71, 6,951.53 and 4,215.95

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Solution

The fourth proportional to 4,617.71, 6,951.53 and 4,215.95 is: 6,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.71 : 6,951.53 = 4,215.95 : x
  2. Step 2: Convert to fraction form
    4,617.71/6,951.53 = 4,215.95/x
  3. Step 3: Cross multiply
    4,617.71x = 6,951.53 × 4,215.95
  4. Step 4: Simplify right side
    4,617.71x = 29,307,302.90
  5. Step 5: Solve for x
    x = 29,307,302.90/4,617.71
  6. Step 6: Final answer
    x = 6,346.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.