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Finding the Fourth Proportional to 4,967.32, 7,446.34 and 1,678.11

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Solution

The fourth proportional to 4,967.32, 7,446.34 and 1,678.11 is: 2,515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.32 : 7,446.34 = 1,678.11 : x
  2. Step 2: Convert to fraction form
    4,967.32/7,446.34 = 1,678.11/x
  3. Step 3: Cross multiply
    4,967.32x = 7,446.34 × 1,678.11
  4. Step 4: Simplify right side
    4,967.32x = 12,495,773.42
  5. Step 5: Solve for x
    x = 12,495,773.42/4,967.32
  6. Step 6: Final answer
    x = 2,515.60

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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.