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Finding the Fourth Proportional to 3,461.64, 5,192.46 and 1,123.60

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Solution

The fourth proportional to 3,461.64, 5,192.46 and 1,123.60 is: 1,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.64 : 5,192.46 = 1,123.60 : x
  2. Step 2: Convert to fraction form
    3,461.64/5,192.46 = 1,123.60/x
  3. Step 3: Cross multiply
    3,461.64x = 5,192.46 × 1,123.60
  4. Step 4: Simplify right side
    3,461.64x = 5,834,248.06
  5. Step 5: Solve for x
    x = 5,834,248.06/3,461.64
  6. Step 6: Final answer
    x = 1,685.40

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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.