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Finding the Fourth Proportional to 4,712.32, 6,502.71 and 2,616.45

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Solution

The fourth proportional to 4,712.32, 6,502.71 and 2,616.45 is: 3,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.32 : 6,502.71 = 2,616.45 : x
  2. Step 2: Convert to fraction form
    4,712.32/6,502.71 = 2,616.45/x
  3. Step 3: Cross multiply
    4,712.32x = 6,502.71 × 2,616.45
  4. Step 4: Simplify right side
    4,712.32x = 17,014,015.58
  5. Step 5: Solve for x
    x = 17,014,015.58/4,712.32
  6. Step 6: Final answer
    x = 3,610.54

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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.