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Finding the Fourth Proportional to 3,437.83, 5,156.76 and 1,245.70

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Solution

The fourth proportional to 3,437.83, 5,156.76 and 1,245.70 is: 1,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.83 : 5,156.76 = 1,245.70 : x
  2. Step 2: Convert to fraction form
    3,437.83/5,156.76 = 1,245.70/x
  3. Step 3: Cross multiply
    3,437.83x = 5,156.76 × 1,245.70
  4. Step 4: Simplify right side
    3,437.83x = 6,423,775.93
  5. Step 5: Solve for x
    x = 6,423,775.93/3,437.83
  6. Step 6: Final answer
    x = 1,868.56

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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.