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Finding the Fourth Proportional to 4,166.61, 5,749.74 and 2,278.10

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Solution

The fourth proportional to 4,166.61, 5,749.74 and 2,278.10 is: 3,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.61 : 5,749.74 = 2,278.10 : x
  2. Step 2: Convert to fraction form
    4,166.61/5,749.74 = 2,278.10/x
  3. Step 3: Cross multiply
    4,166.61x = 5,749.74 × 2,278.10
  4. Step 4: Simplify right side
    4,166.61x = 13,098,482.69
  5. Step 5: Solve for x
    x = 13,098,482.69/4,166.61
  6. Step 6: Final answer
    x = 3,143.68

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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.