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Finding the Fourth Proportional to 3,474.58, 5,210.56 and 1,134.04

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Solution

The fourth proportional to 3,474.58, 5,210.56 and 1,134.04 is: 1,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.58 : 5,210.56 = 1,134.04 : x
  2. Step 2: Convert to fraction form
    3,474.58/5,210.56 = 1,134.04/x
  3. Step 3: Cross multiply
    3,474.58x = 5,210.56 × 1,134.04
  4. Step 4: Simplify right side
    3,474.58x = 5,908,983.46
  5. Step 5: Solve for x
    x = 5,908,983.46/3,474.58
  6. Step 6: Final answer
    x = 1,700.63

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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.