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Finding the Fourth Proportional to 5,570.51, 7,687.10 and 3,052.55

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Solution

The fourth proportional to 5,570.51, 7,687.10 and 3,052.55 is: 4,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.51 : 7,687.10 = 3,052.55 : x
  2. Step 2: Convert to fraction form
    5,570.51/7,687.10 = 3,052.55/x
  3. Step 3: Cross multiply
    5,570.51x = 7,687.10 × 3,052.55
  4. Step 4: Simplify right side
    5,570.51x = 23,465,283.95
  5. Step 5: Solve for x
    x = 23,465,283.95/5,570.51
  6. Step 6: Final answer
    x = 4,212.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.