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Finding the Fourth Proportional to 5,686.38, 8,529.64 and 1,737.72

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Solution

The fourth proportional to 5,686.38, 8,529.64 and 1,737.72 is: 2,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.38 : 8,529.64 = 1,737.72 : x
  2. Step 2: Convert to fraction form
    5,686.38/8,529.64 = 1,737.72/x
  3. Step 3: Cross multiply
    5,686.38x = 8,529.64 × 1,737.72
  4. Step 4: Simplify right side
    5,686.38x = 14,822,126.02
  5. Step 5: Solve for x
    x = 14,822,126.02/5,686.38
  6. Step 6: Final answer
    x = 2,606.60

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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.