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Finding the Fourth Proportional to 5,825.68, 8,038.52 and 3,587.92

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Solution

The fourth proportional to 5,825.68, 8,038.52 and 3,587.92 is: 4,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.68 : 8,038.52 = 3,587.92 : x
  2. Step 2: Convert to fraction form
    5,825.68/8,038.52 = 3,587.92/x
  3. Step 3: Cross multiply
    5,825.68x = 8,038.52 × 3,587.92
  4. Step 4: Simplify right side
    5,825.68x = 28,841,566.68
  5. Step 5: Solve for x
    x = 28,841,566.68/5,825.68
  6. Step 6: Final answer
    x = 4,950.76

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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.