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Finding the Fourth Proportional to 5,686.35, 8,530.78 and 1,737.94

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Solution

The fourth proportional to 5,686.35, 8,530.78 and 1,737.94 is: 2,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.35 : 8,530.78 = 1,737.94 : x
  2. Step 2: Convert to fraction form
    5,686.35/8,530.78 = 1,737.94/x
  3. Step 3: Cross multiply
    5,686.35x = 8,530.78 × 1,737.94
  4. Step 4: Simplify right side
    5,686.35x = 14,825,983.79
  5. Step 5: Solve for x
    x = 14,825,983.79/5,686.35
  6. Step 6: Final answer
    x = 2,607.29

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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.