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Finding the Fourth Proportional to 5,441.87, 8,159.74 and 4,977.47

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Solution

The fourth proportional to 5,441.87, 8,159.74 and 4,977.47 is: 7,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.87 : 8,159.74 = 4,977.47 : x
  2. Step 2: Convert to fraction form
    5,441.87/8,159.74 = 4,977.47/x
  3. Step 3: Cross multiply
    5,441.87x = 8,159.74 × 4,977.47
  4. Step 4: Simplify right side
    5,441.87x = 40,614,869.01
  5. Step 5: Solve for x
    x = 40,614,869.01/5,441.87
  6. Step 6: Final answer
    x = 7,463.40

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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.