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Finding the Fourth Proportional to 5,901.98, 8,147.67 and 4,572.68

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Solution

The fourth proportional to 5,901.98, 8,147.67 and 4,572.68 is: 6,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.98 : 8,147.67 = 4,572.68 : x
  2. Step 2: Convert to fraction form
    5,901.98/8,147.67 = 4,572.68/x
  3. Step 3: Cross multiply
    5,901.98x = 8,147.67 × 4,572.68
  4. Step 4: Simplify right side
    5,901.98x = 37,256,687.66
  5. Step 5: Solve for x
    x = 37,256,687.66/5,901.98
  6. Step 6: Final answer
    x = 6,312.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.