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Finding the Fourth Proportional to 3,663.47, 5,498.27 and 1,585.06

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Solution

The fourth proportional to 3,663.47, 5,498.27 and 1,585.06 is: 2,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.47 : 5,498.27 = 1,585.06 : x
  2. Step 2: Convert to fraction form
    3,663.47/5,498.27 = 1,585.06/x
  3. Step 3: Cross multiply
    3,663.47x = 5,498.27 × 1,585.06
  4. Step 4: Simplify right side
    3,663.47x = 8,715,087.85
  5. Step 5: Solve for x
    x = 8,715,087.85/3,663.47
  6. Step 6: Final answer
    x = 2,378.92

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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.