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Finding the Fourth Proportional to 2,572.19, 3,856.22 and 2,427.30

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Solution

The fourth proportional to 2,572.19, 3,856.22 and 2,427.30 is: 3,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.19 : 3,856.22 = 2,427.30 : x
  2. Step 2: Convert to fraction form
    2,572.19/3,856.22 = 2,427.30/x
  3. Step 3: Cross multiply
    2,572.19x = 3,856.22 × 2,427.30
  4. Step 4: Simplify right side
    2,572.19x = 9,360,190.67
  5. Step 5: Solve for x
    x = 9,360,190.67/2,572.19
  6. Step 6: Final answer
    x = 3,639.00

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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.