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Finding the Fourth Proportional to 5,807.32, 8,711.70 and 1,913.08

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Solution

The fourth proportional to 5,807.32, 8,711.70 and 1,913.08 is: 2,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.32 : 8,711.70 = 1,913.08 : x
  2. Step 2: Convert to fraction form
    5,807.32/8,711.70 = 1,913.08/x
  3. Step 3: Cross multiply
    5,807.32x = 8,711.70 × 1,913.08
  4. Step 4: Simplify right side
    5,807.32x = 16,666,179.04
  5. Step 5: Solve for x
    x = 16,666,179.04/5,807.32
  6. Step 6: Final answer
    x = 2,869.86

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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.