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Finding the Fourth Proportional to 4,732.16, 7,094.12 and 1,957.10

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Solution

The fourth proportional to 4,732.16, 7,094.12 and 1,957.10 is: 2,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.16 : 7,094.12 = 1,957.10 : x
  2. Step 2: Convert to fraction form
    4,732.16/7,094.12 = 1,957.10/x
  3. Step 3: Cross multiply
    4,732.16x = 7,094.12 × 1,957.10
  4. Step 4: Simplify right side
    4,732.16x = 13,883,902.25
  5. Step 5: Solve for x
    x = 13,883,902.25/4,732.16
  6. Step 6: Final answer
    x = 2,933.95

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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.