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Finding the Fourth Proportional to 5,902.04, 8,856.58 and 2,980.64

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Solution

The fourth proportional to 5,902.04, 8,856.58 and 2,980.64 is: 4,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.04 : 8,856.58 = 2,980.64 : x
  2. Step 2: Convert to fraction form
    5,902.04/8,856.58 = 2,980.64/x
  3. Step 3: Cross multiply
    5,902.04x = 8,856.58 × 2,980.64
  4. Step 4: Simplify right side
    5,902.04x = 26,398,276.61
  5. Step 5: Solve for x
    x = 26,398,276.61/5,902.04
  6. Step 6: Final answer
    x = 4,472.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.