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Finding the Fourth Proportional to 5,570.34, 7,686.78 and 3,052.44

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Solution

The fourth proportional to 5,570.34, 7,686.78 and 3,052.44 is: 4,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.34 : 7,686.78 = 3,052.44 : x
  2. Step 2: Convert to fraction form
    5,570.34/7,686.78 = 3,052.44/x
  3. Step 3: Cross multiply
    5,570.34x = 7,686.78 × 3,052.44
  4. Step 4: Simplify right side
    5,570.34x = 23,463,434.74
  5. Step 5: Solve for x
    x = 23,463,434.74/5,570.34
  6. Step 6: Final answer
    x = 4,212.21

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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.