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Finding the Fourth Proportional to 5,585, 8,366.54 and 3,829.72

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Solution

The fourth proportional to 5,585, 8,366.54 and 3,829.72 is: 5,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585 : 8,366.54 = 3,829.72 : x
  2. Step 2: Convert to fraction form
    5,585/8,366.54 = 3,829.72/x
  3. Step 3: Cross multiply
    5,585x = 8,366.54 × 3,829.72
  4. Step 4: Simplify right side
    5,585x = 32,041,505.57
  5. Step 5: Solve for x
    x = 32,041,505.57/5,585
  6. Step 6: Final answer
    x = 5,737.06

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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.