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Finding the Fourth Proportional to 3,546.56, 5,320.19 and 1,357.13

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Solution

The fourth proportional to 3,546.56, 5,320.19 and 1,357.13 is: 2,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.56 : 5,320.19 = 1,357.13 : x
  2. Step 2: Convert to fraction form
    3,546.56/5,320.19 = 1,357.13/x
  3. Step 3: Cross multiply
    3,546.56x = 5,320.19 × 1,357.13
  4. Step 4: Simplify right side
    3,546.56x = 7,220,156.07
  5. Step 5: Solve for x
    x = 7,220,156.07/3,546.56
  6. Step 6: Final answer
    x = 2,035.82

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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.