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Finding the Fourth Proportional to 3,876.48, 5,339.20 and 3,703.68

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Solution

The fourth proportional to 3,876.48, 5,339.20 and 3,703.68 is: 5,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.48 : 5,339.20 = 3,703.68 : x
  2. Step 2: Convert to fraction form
    3,876.48/5,339.20 = 3,703.68/x
  3. Step 3: Cross multiply
    3,876.48x = 5,339.20 × 3,703.68
  4. Step 4: Simplify right side
    3,876.48x = 19,774,688.26
  5. Step 5: Solve for x
    x = 19,774,688.26/3,876.48
  6. Step 6: Final answer
    x = 5,101.20

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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.