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Finding the Fourth Proportional to 4,316.68, 6,475.06 and 3,456.46

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Solution

The fourth proportional to 4,316.68, 6,475.06 and 3,456.46 is: 5,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.68 : 6,475.06 = 3,456.46 : x
  2. Step 2: Convert to fraction form
    4,316.68/6,475.06 = 3,456.46/x
  3. Step 3: Cross multiply
    4,316.68x = 6,475.06 × 3,456.46
  4. Step 4: Simplify right side
    4,316.68x = 22,380,785.89
  5. Step 5: Solve for x
    x = 22,380,785.89/4,316.68
  6. Step 6: Final answer
    x = 5,184.72

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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.