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Finding the Fourth Proportional to 3,586.70, 5,374.02 and 1,737.38

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Solution

The fourth proportional to 3,586.70, 5,374.02 and 1,737.38 is: 2,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.70 : 5,374.02 = 1,737.38 : x
  2. Step 2: Convert to fraction form
    3,586.70/5,374.02 = 1,737.38/x
  3. Step 3: Cross multiply
    3,586.70x = 5,374.02 × 1,737.38
  4. Step 4: Simplify right side
    3,586.70x = 9,336,714.87
  5. Step 5: Solve for x
    x = 9,336,714.87/3,586.70
  6. Step 6: Final answer
    x = 2,603.15

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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.