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Finding the Fourth Proportional to 3,506.46, 5,256.42 and 1,557.60

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Solution

The fourth proportional to 3,506.46, 5,256.42 and 1,557.60 is: 2,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.46 : 5,256.42 = 1,557.60 : x
  2. Step 2: Convert to fraction form
    3,506.46/5,256.42 = 1,557.60/x
  3. Step 3: Cross multiply
    3,506.46x = 5,256.42 × 1,557.60
  4. Step 4: Simplify right side
    3,506.46x = 8,187,399.79
  5. Step 5: Solve for x
    x = 8,187,399.79/3,506.46
  6. Step 6: Final answer
    x = 2,334.95

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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.