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Finding the Fourth Proportional to 5,145.31, 7,713.28 and 1,856.08

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Solution

The fourth proportional to 5,145.31, 7,713.28 and 1,856.08 is: 2,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.31 : 7,713.28 = 1,856.08 : x
  2. Step 2: Convert to fraction form
    5,145.31/7,713.28 = 1,856.08/x
  3. Step 3: Cross multiply
    5,145.31x = 7,713.28 × 1,856.08
  4. Step 4: Simplify right side
    5,145.31x = 14,316,464.74
  5. Step 5: Solve for x
    x = 14,316,464.74/5,145.31
  6. Step 6: Final answer
    x = 2,782.43

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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.