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Finding the Fourth Proportional to 4,334.48, 5,980.52 and 2,566

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Solution

The fourth proportional to 4,334.48, 5,980.52 and 2,566 is: 3,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.48 : 5,980.52 = 2,566 : x
  2. Step 2: Convert to fraction form
    4,334.48/5,980.52 = 2,566/x
  3. Step 3: Cross multiply
    4,334.48x = 5,980.52 × 2,566
  4. Step 4: Simplify right side
    4,334.48x = 15,346,014.32
  5. Step 5: Solve for x
    x = 15,346,014.32/4,334.48
  6. Step 6: Final answer
    x = 3,540.45

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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.