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Finding the Fourth Proportional to 4,063, 6,094.80 and 1,141.20

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Solution

The fourth proportional to 4,063, 6,094.80 and 1,141.20 is: 1,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063 : 6,094.80 = 1,141.20 : x
  2. Step 2: Convert to fraction form
    4,063/6,094.80 = 1,141.20/x
  3. Step 3: Cross multiply
    4,063x = 6,094.80 × 1,141.20
  4. Step 4: Simplify right side
    4,063x = 6,955,385.76
  5. Step 5: Solve for x
    x = 6,955,385.76/4,063
  6. Step 6: Final answer
    x = 1,711.88

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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.