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Finding the Fourth Proportional to 3,633.47, 5,443.05 and 2,397.10

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Solution

The fourth proportional to 3,633.47, 5,443.05 and 2,397.10 is: 3,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.47 : 5,443.05 = 2,397.10 : x
  2. Step 2: Convert to fraction form
    3,633.47/5,443.05 = 2,397.10/x
  3. Step 3: Cross multiply
    3,633.47x = 5,443.05 × 2,397.10
  4. Step 4: Simplify right side
    3,633.47x = 13,047,521.55
  5. Step 5: Solve for x
    x = 13,047,521.55/3,633.47
  6. Step 6: Final answer
    x = 3,590.93

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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.