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Finding the Fourth Proportional to 4,340.32, 6,503.12 and 3,101.44

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Solution

The fourth proportional to 4,340.32, 6,503.12 and 3,101.44 is: 4,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.32 : 6,503.12 = 3,101.44 : x
  2. Step 2: Convert to fraction form
    4,340.32/6,503.12 = 3,101.44/x
  3. Step 3: Cross multiply
    4,340.32x = 6,503.12 × 3,101.44
  4. Step 4: Simplify right side
    4,340.32x = 20,169,036.49
  5. Step 5: Solve for x
    x = 20,169,036.49/4,340.32
  6. Step 6: Final answer
    x = 4,646.90

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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.