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Finding the Fourth Proportional to 3,207.68, 4,814.76 and 1,477.52

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Solution

The fourth proportional to 3,207.68, 4,814.76 and 1,477.52 is: 2,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.68 : 4,814.76 = 1,477.52 : x
  2. Step 2: Convert to fraction form
    3,207.68/4,814.76 = 1,477.52/x
  3. Step 3: Cross multiply
    3,207.68x = 4,814.76 × 1,477.52
  4. Step 4: Simplify right side
    3,207.68x = 7,113,904.20
  5. Step 5: Solve for x
    x = 7,113,904.20/3,207.68
  6. Step 6: Final answer
    x = 2,217.77

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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.