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Finding the Fourth Proportional to 4,191.81, 5,785 and 2,598.76

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Solution

The fourth proportional to 4,191.81, 5,785 and 2,598.76 is: 3,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.81 : 5,785 = 2,598.76 : x
  2. Step 2: Convert to fraction form
    4,191.81/5,785 = 2,598.76/x
  3. Step 3: Cross multiply
    4,191.81x = 5,785 × 2,598.76
  4. Step 4: Simplify right side
    4,191.81x = 15,033,826.60
  5. Step 5: Solve for x
    x = 15,033,826.60/4,191.81
  6. Step 6: Final answer
    x = 3,586.48

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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.