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Finding the Fourth Proportional to 3,422.70, 5,124.45 and 3,077.10

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Solution

The fourth proportional to 3,422.70, 5,124.45 and 3,077.10 is: 4,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.70 : 5,124.45 = 3,077.10 : x
  2. Step 2: Convert to fraction form
    3,422.70/5,124.45 = 3,077.10/x
  3. Step 3: Cross multiply
    3,422.70x = 5,124.45 × 3,077.10
  4. Step 4: Simplify right side
    3,422.70x = 15,768,445.10
  5. Step 5: Solve for x
    x = 15,768,445.10/3,422.70
  6. Step 6: Final answer
    x = 4,607.02

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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.