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Finding the Fourth Proportional to 4,592.98, 6,889.36 and 1,472.86

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Solution

The fourth proportional to 4,592.98, 6,889.36 and 1,472.86 is: 2,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.98 : 6,889.36 = 1,472.86 : x
  2. Step 2: Convert to fraction form
    4,592.98/6,889.36 = 1,472.86/x
  3. Step 3: Cross multiply
    4,592.98x = 6,889.36 × 1,472.86
  4. Step 4: Simplify right side
    4,592.98x = 10,147,062.77
  5. Step 5: Solve for x
    x = 10,147,062.77/4,592.98
  6. Step 6: Final answer
    x = 2,209.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.