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Finding the Fourth Proportional to 4,242.79, 5,856.41 and 2,474.74

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Solution

The fourth proportional to 4,242.79, 5,856.41 and 2,474.74 is: 3,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.79 : 5,856.41 = 2,474.74 : x
  2. Step 2: Convert to fraction form
    4,242.79/5,856.41 = 2,474.74/x
  3. Step 3: Cross multiply
    4,242.79x = 5,856.41 × 2,474.74
  4. Step 4: Simplify right side
    4,242.79x = 14,493,065.07
  5. Step 5: Solve for x
    x = 14,493,065.07/4,242.79
  6. Step 6: Final answer
    x = 3,415.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.