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Finding the Fourth Proportional to 5,145.46, 7,716.14 and 1,856.76

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Solution

The fourth proportional to 5,145.46, 7,716.14 and 1,856.76 is: 2,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.46 : 7,716.14 = 1,856.76 : x
  2. Step 2: Convert to fraction form
    5,145.46/7,716.14 = 1,856.76/x
  3. Step 3: Cross multiply
    5,145.46x = 7,716.14 × 1,856.76
  4. Step 4: Simplify right side
    5,145.46x = 14,327,020.11
  5. Step 5: Solve for x
    x = 14,327,020.11/5,145.46
  6. Step 6: Final answer
    x = 2,784.40

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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.