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Finding the Fourth Proportional to 4,322.64, 6,484.35 and 3,349.83

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Solution

The fourth proportional to 4,322.64, 6,484.35 and 3,349.83 is: 5,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.64 : 6,484.35 = 3,349.83 : x
  2. Step 2: Convert to fraction form
    4,322.64/6,484.35 = 3,349.83/x
  3. Step 3: Cross multiply
    4,322.64x = 6,484.35 × 3,349.83
  4. Step 4: Simplify right side
    4,322.64x = 21,721,470.16
  5. Step 5: Solve for x
    x = 21,721,470.16/4,322.64
  6. Step 6: Final answer
    x = 5,025.05

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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.