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Finding the Fourth Proportional to 3,980.94, 5,496.15 and 2,565.12

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Solution

The fourth proportional to 3,980.94, 5,496.15 and 2,565.12 is: 3,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.94 : 5,496.15 = 2,565.12 : x
  2. Step 2: Convert to fraction form
    3,980.94/5,496.15 = 2,565.12/x
  3. Step 3: Cross multiply
    3,980.94x = 5,496.15 × 2,565.12
  4. Step 4: Simplify right side
    3,980.94x = 14,098,298.03
  5. Step 5: Solve for x
    x = 14,098,298.03/3,980.94
  6. Step 6: Final answer
    x = 3,541.45

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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.