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Finding the Fourth Proportional to 3,875.92, 5,341.62 and 3,246.55

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Solution

The fourth proportional to 3,875.92, 5,341.62 and 3,246.55 is: 4,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.92 : 5,341.62 = 3,246.55 : x
  2. Step 2: Convert to fraction form
    3,875.92/5,341.62 = 3,246.55/x
  3. Step 3: Cross multiply
    3,875.92x = 5,341.62 × 3,246.55
  4. Step 4: Simplify right side
    3,875.92x = 17,341,836.41
  5. Step 5: Solve for x
    x = 17,341,836.41/3,875.92
  6. Step 6: Final answer
    x = 4,474.25

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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.