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Finding the Fourth Proportional to 5,927.13, 8,898.50 and 5,437.55

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Solution

The fourth proportional to 5,927.13, 8,898.50 and 5,437.55 is: 8,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.13 : 8,898.50 = 5,437.55 : x
  2. Step 2: Convert to fraction form
    5,927.13/8,898.50 = 5,437.55/x
  3. Step 3: Cross multiply
    5,927.13x = 8,898.50 × 5,437.55
  4. Step 4: Simplify right side
    5,927.13x = 48,386,074.52
  5. Step 5: Solve for x
    x = 48,386,074.52/5,927.13
  6. Step 6: Final answer
    x = 8,163.49

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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.