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Finding the Fourth Proportional to 4,852.96, 6,695.52 and 2,864.18

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Solution

The fourth proportional to 4,852.96, 6,695.52 and 2,864.18 is: 3,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.96 : 6,695.52 = 2,864.18 : x
  2. Step 2: Convert to fraction form
    4,852.96/6,695.52 = 2,864.18/x
  3. Step 3: Cross multiply
    4,852.96x = 6,695.52 × 2,864.18
  4. Step 4: Simplify right side
    4,852.96x = 19,177,174.47
  5. Step 5: Solve for x
    x = 19,177,174.47/4,852.96
  6. Step 6: Final answer
    x = 3,951.64

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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.