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Finding the Fourth Proportional to 6,301.52, 8,695.91 and 3,648.98

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Solution

The fourth proportional to 6,301.52, 8,695.91 and 3,648.98 is: 5,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.52 : 8,695.91 = 3,648.98 : x
  2. Step 2: Convert to fraction form
    6,301.52/8,695.91 = 3,648.98/x
  3. Step 3: Cross multiply
    6,301.52x = 8,695.91 × 3,648.98
  4. Step 4: Simplify right side
    6,301.52x = 31,731,139.95
  5. Step 5: Solve for x
    x = 31,731,139.95/6,301.52
  6. Step 6: Final answer
    x = 5,035.48

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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.