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Finding the Fourth Proportional to 4,666.92, 7,001.04 and 1,744.95

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Solution

The fourth proportional to 4,666.92, 7,001.04 and 1,744.95 is: 2,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.92 : 7,001.04 = 1,744.95 : x
  2. Step 2: Convert to fraction form
    4,666.92/7,001.04 = 1,744.95/x
  3. Step 3: Cross multiply
    4,666.92x = 7,001.04 × 1,744.95
  4. Step 4: Simplify right side
    4,666.92x = 12,216,428.66
  5. Step 5: Solve for x
    x = 12,216,428.66/4,666.92
  6. Step 6: Final answer
    x = 2,617.66

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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.