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Finding the Fourth Proportional to 4,712.26, 6,502.80 and 2,616.25

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Solution

The fourth proportional to 4,712.26, 6,502.80 and 2,616.25 is: 3,610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.26 : 6,502.80 = 2,616.25 : x
  2. Step 2: Convert to fraction form
    4,712.26/6,502.80 = 2,616.25/x
  3. Step 3: Cross multiply
    4,712.26x = 6,502.80 × 2,616.25
  4. Step 4: Simplify right side
    4,712.26x = 17,012,950.50
  5. Step 5: Solve for x
    x = 17,012,950.50/4,712.26
  6. Step 6: Final answer
    x = 3,610.36

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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.