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Finding the Fourth Proportional to 8,585.70, 12,877 and 3,039.10

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Solution

The fourth proportional to 8,585.70, 12,877 and 3,039.10 is: 4,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.70 : 12,877 = 3,039.10 : x
  2. Step 2: Convert to fraction form
    8,585.70/12,877 = 3,039.10/x
  3. Step 3: Cross multiply
    8,585.70x = 12,877 × 3,039.10
  4. Step 4: Simplify right side
    8,585.70x = 39,134,490.70
  5. Step 5: Solve for x
    x = 39,134,490.70/8,585.70
  6. Step 6: Final answer
    x = 4,558.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.