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Finding the Fourth Proportional to 5,689.80, 8,537.40 and 2,570.76

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Solution

The fourth proportional to 5,689.80, 8,537.40 and 2,570.76 is: 3,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.80 : 8,537.40 = 2,570.76 : x
  2. Step 2: Convert to fraction form
    5,689.80/8,537.40 = 2,570.76/x
  3. Step 3: Cross multiply
    5,689.80x = 8,537.40 × 2,570.76
  4. Step 4: Simplify right side
    5,689.80x = 21,947,563.74
  5. Step 5: Solve for x
    x = 21,947,563.74/5,689.80
  6. Step 6: Final answer
    x = 3,857.36

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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.