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Finding the Fourth Proportional to 5,257.98, 7,256.21 and 3,019.68

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Solution

The fourth proportional to 5,257.98, 7,256.21 and 3,019.68 is: 4,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.98 : 7,256.21 = 3,019.68 : x
  2. Step 2: Convert to fraction form
    5,257.98/7,256.21 = 3,019.68/x
  3. Step 3: Cross multiply
    5,257.98x = 7,256.21 × 3,019.68
  4. Step 4: Simplify right side
    5,257.98x = 21,911,417.11
  5. Step 5: Solve for x
    x = 21,911,417.11/5,257.98
  6. Step 6: Final answer
    x = 4,167.27

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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.