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Finding the Fourth Proportional to 5,432.98, 8,178.96 and 4,868.50

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Solution

The fourth proportional to 5,432.98, 8,178.96 and 4,868.50 is: 7,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.98 : 8,178.96 = 4,868.50 : x
  2. Step 2: Convert to fraction form
    5,432.98/8,178.96 = 4,868.50/x
  3. Step 3: Cross multiply
    5,432.98x = 8,178.96 × 4,868.50
  4. Step 4: Simplify right side
    5,432.98x = 39,819,242.42
  5. Step 5: Solve for x
    x = 39,819,242.42/5,432.98
  6. Step 6: Final answer
    x = 7,329.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.