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Finding the Fourth Proportional to 4,443.60, 6,665.22 and 1,977.78

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Solution

The fourth proportional to 4,443.60, 6,665.22 and 1,977.78 is: 2,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,443.60 : 6,665.22 = 1,977.78 : x
  2. Step 2: Convert to fraction form
    4,443.60/6,665.22 = 1,977.78/x
  3. Step 3: Cross multiply
    4,443.60x = 6,665.22 × 1,977.78
  4. Step 4: Simplify right side
    4,443.60x = 13,182,338.81
  5. Step 5: Solve for x
    x = 13,182,338.81/4,443.60
  6. Step 6: Final answer
    x = 2,966.59

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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.