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Finding the Fourth Proportional to 3,829.52, 5,277.84 and 2,779.76

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Solution

The fourth proportional to 3,829.52, 5,277.84 and 2,779.76 is: 3,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.52 : 5,277.84 = 2,779.76 : x
  2. Step 2: Convert to fraction form
    3,829.52/5,277.84 = 2,779.76/x
  3. Step 3: Cross multiply
    3,829.52x = 5,277.84 × 2,779.76
  4. Step 4: Simplify right side
    3,829.52x = 14,671,128.52
  5. Step 5: Solve for x
    x = 14,671,128.52/3,829.52
  6. Step 6: Final answer
    x = 3,831.06

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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.