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Finding the Fourth Proportional to 5,029.44, 7,548.76 and 2,566

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Solution

The fourth proportional to 5,029.44, 7,548.76 and 2,566 is: 3,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029.44 : 7,548.76 = 2,566 : x
  2. Step 2: Convert to fraction form
    5,029.44/7,548.76 = 2,566/x
  3. Step 3: Cross multiply
    5,029.44x = 7,548.76 × 2,566
  4. Step 4: Simplify right side
    5,029.44x = 19,370,118.16
  5. Step 5: Solve for x
    x = 19,370,118.16/5,029.44
  6. Step 6: Final answer
    x = 3,851.35

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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.