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Finding the Fourth Proportional to 4,138.76, 5,712.18 and 3,699.08

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Solution

The fourth proportional to 4,138.76, 5,712.18 and 3,699.08 is: 5,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.76 : 5,712.18 = 3,699.08 : x
  2. Step 2: Convert to fraction form
    4,138.76/5,712.18 = 3,699.08/x
  3. Step 3: Cross multiply
    4,138.76x = 5,712.18 × 3,699.08
  4. Step 4: Simplify right side
    4,138.76x = 21,129,810.79
  5. Step 5: Solve for x
    x = 21,129,810.79/4,138.76
  6. Step 6: Final answer
    x = 5,105.35

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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.