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Finding the Fourth Proportional to 3,521.06, 4,857.54 and 2,123

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Solution

The fourth proportional to 3,521.06, 4,857.54 and 2,123 is: 2,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.06 : 4,857.54 = 2,123 : x
  2. Step 2: Convert to fraction form
    3,521.06/4,857.54 = 2,123/x
  3. Step 3: Cross multiply
    3,521.06x = 4,857.54 × 2,123
  4. Step 4: Simplify right side
    3,521.06x = 10,312,557.42
  5. Step 5: Solve for x
    x = 10,312,557.42/3,521.06
  6. Step 6: Final answer
    x = 2,928.82

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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.