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Finding the Fourth Proportional to 3,663.81, 5,058.39 and 2,407.10

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Solution

The fourth proportional to 3,663.81, 5,058.39 and 2,407.10 is: 3,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.81 : 5,058.39 = 2,407.10 : x
  2. Step 2: Convert to fraction form
    3,663.81/5,058.39 = 2,407.10/x
  3. Step 3: Cross multiply
    3,663.81x = 5,058.39 × 2,407.10
  4. Step 4: Simplify right side
    3,663.81x = 12,176,050.57
  5. Step 5: Solve for x
    x = 12,176,050.57/3,663.81
  6. Step 6: Final answer
    x = 3,323.33

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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.