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Finding the Fourth Proportional to 4,645.68, 6,967.08 and 1,872.24

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Solution

The fourth proportional to 4,645.68, 6,967.08 and 1,872.24 is: 2,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.68 : 6,967.08 = 1,872.24 : x
  2. Step 2: Convert to fraction form
    4,645.68/6,967.08 = 1,872.24/x
  3. Step 3: Cross multiply
    4,645.68x = 6,967.08 × 1,872.24
  4. Step 4: Simplify right side
    4,645.68x = 13,044,045.86
  5. Step 5: Solve for x
    x = 13,044,045.86/4,645.68
  6. Step 6: Final answer
    x = 2,807.78

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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.