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Finding the Fourth Proportional to 5,746.07, 7,932.60 and 3,867.53

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Solution

The fourth proportional to 5,746.07, 7,932.60 and 3,867.53 is: 5,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.07 : 7,932.60 = 3,867.53 : x
  2. Step 2: Convert to fraction form
    5,746.07/7,932.60 = 3,867.53/x
  3. Step 3: Cross multiply
    5,746.07x = 7,932.60 × 3,867.53
  4. Step 4: Simplify right side
    5,746.07x = 30,679,528.82
  5. Step 5: Solve for x
    x = 30,679,528.82/5,746.07
  6. Step 6: Final answer
    x = 5,339.22

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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.