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Finding the Fourth Proportional to 4,712, 6,502.77 and 2,616.13

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Solution

The fourth proportional to 4,712, 6,502.77 and 2,616.13 is: 3,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712 : 6,502.77 = 2,616.13 : x
  2. Step 2: Convert to fraction form
    4,712/6,502.77 = 2,616.13/x
  3. Step 3: Cross multiply
    4,712x = 6,502.77 × 2,616.13
  4. Step 4: Simplify right side
    4,712x = 17,012,046.09
  5. Step 5: Solve for x
    x = 17,012,046.09/4,712
  6. Step 6: Final answer
    x = 3,610.37

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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.