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Finding the Fourth Proportional to 3,557.76, 5,337.69 and 1,477.41

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Solution

The fourth proportional to 3,557.76, 5,337.69 and 1,477.41 is: 2,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.76 : 5,337.69 = 1,477.41 : x
  2. Step 2: Convert to fraction form
    3,557.76/5,337.69 = 1,477.41/x
  3. Step 3: Cross multiply
    3,557.76x = 5,337.69 × 1,477.41
  4. Step 4: Simplify right side
    3,557.76x = 7,885,956.58
  5. Step 5: Solve for x
    x = 7,885,956.58/3,557.76
  6. Step 6: Final answer
    x = 2,216.55

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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.