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Finding the Fourth Proportional to 4,501.68, 6,752.92 and 1,214.78

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Solution

The fourth proportional to 4,501.68, 6,752.92 and 1,214.78 is: 1,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501.68 : 6,752.92 = 1,214.78 : x
  2. Step 2: Convert to fraction form
    4,501.68/6,752.92 = 1,214.78/x
  3. Step 3: Cross multiply
    4,501.68x = 6,752.92 × 1,214.78
  4. Step 4: Simplify right side
    4,501.68x = 8,203,312.16
  5. Step 5: Solve for x
    x = 8,203,312.16/4,501.68
  6. Step 6: Final answer
    x = 1,822.28

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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.