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Finding the Fourth Proportional to 3,348.16, 5,023.32 and 1,400.92

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Solution

The fourth proportional to 3,348.16, 5,023.32 and 1,400.92 is: 2,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.16 : 5,023.32 = 1,400.92 : x
  2. Step 2: Convert to fraction form
    3,348.16/5,023.32 = 1,400.92/x
  3. Step 3: Cross multiply
    3,348.16x = 5,023.32 × 1,400.92
  4. Step 4: Simplify right side
    3,348.16x = 7,037,269.45
  5. Step 5: Solve for x
    x = 7,037,269.45/3,348.16
  6. Step 6: Final answer
    x = 2,101.83

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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.