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Finding the Fourth Proportional to 4,316.40, 6,474.60 and 2,007.90

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Solution

The fourth proportional to 4,316.40, 6,474.60 and 2,007.90 is: 3,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.40 : 6,474.60 = 2,007.90 : x
  2. Step 2: Convert to fraction form
    4,316.40/6,474.60 = 2,007.90/x
  3. Step 3: Cross multiply
    4,316.40x = 6,474.60 × 2,007.90
  4. Step 4: Simplify right side
    4,316.40x = 13,000,349.34
  5. Step 5: Solve for x
    x = 13,000,349.34/4,316.40
  6. Step 6: Final answer
    x = 3,011.85

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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.