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Finding the Fourth Proportional to 3,461.76, 4,778.88 and 2,219.52

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Solution

The fourth proportional to 3,461.76, 4,778.88 and 2,219.52 is: 3,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.76 : 4,778.88 = 2,219.52 : x
  2. Step 2: Convert to fraction form
    3,461.76/4,778.88 = 2,219.52/x
  3. Step 3: Cross multiply
    3,461.76x = 4,778.88 × 2,219.52
  4. Step 4: Simplify right side
    3,461.76x = 10,606,819.74
  5. Step 5: Solve for x
    x = 10,606,819.74/3,461.76
  6. Step 6: Final answer
    x = 3,064.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.