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Finding the Fourth Proportional to 3,518.34, 4,856.25 and 2,191.25

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Solution

The fourth proportional to 3,518.34, 4,856.25 and 2,191.25 is: 3,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.34 : 4,856.25 = 2,191.25 : x
  2. Step 2: Convert to fraction form
    3,518.34/4,856.25 = 2,191.25/x
  3. Step 3: Cross multiply
    3,518.34x = 4,856.25 × 2,191.25
  4. Step 4: Simplify right side
    3,518.34x = 10,641,278.17
  5. Step 5: Solve for x
    x = 10,641,278.17/3,518.34
  6. Step 6: Final answer
    x = 3,024.52

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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.