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Finding the Fourth Proportional to 3,302.12, 4,957.90 and 2,896.16

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Solution

The fourth proportional to 3,302.12, 4,957.90 and 2,896.16 is: 4,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.12 : 4,957.90 = 2,896.16 : x
  2. Step 2: Convert to fraction form
    3,302.12/4,957.90 = 2,896.16/x
  3. Step 3: Cross multiply
    3,302.12x = 4,957.90 × 2,896.16
  4. Step 4: Simplify right side
    3,302.12x = 14,358,871.66
  5. Step 5: Solve for x
    x = 14,358,871.66/3,302.12
  6. Step 6: Final answer
    x = 4,348.38

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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.