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Finding the Fourth Proportional to 5,686.16, 8,529.26 and 1,737.41

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Solution

The fourth proportional to 5,686.16, 8,529.26 and 1,737.41 is: 2,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.16 : 8,529.26 = 1,737.41 : x
  2. Step 2: Convert to fraction form
    5,686.16/8,529.26 = 1,737.41/x
  3. Step 3: Cross multiply
    5,686.16x = 8,529.26 × 1,737.41
  4. Step 4: Simplify right side
    5,686.16x = 14,818,770.28
  5. Step 5: Solve for x
    x = 14,818,770.28/5,686.16
  6. Step 6: Final answer
    x = 2,606.11

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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.