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Finding the Fourth Proportional to 4,322.20, 6,473.70 and 3,746.20

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Solution

The fourth proportional to 4,322.20, 6,473.70 and 3,746.20 is: 5,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.20 : 6,473.70 = 3,746.20 : x
  2. Step 2: Convert to fraction form
    4,322.20/6,473.70 = 3,746.20/x
  3. Step 3: Cross multiply
    4,322.20x = 6,473.70 × 3,746.20
  4. Step 4: Simplify right side
    4,322.20x = 24,251,774.94
  5. Step 5: Solve for x
    x = 24,251,774.94/4,322.20
  6. Step 6: Final answer
    x = 5,610.98

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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.