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Finding the Fourth Proportional to 2,875.42, 3,970.38 and 2,654.29

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Solution

The fourth proportional to 2,875.42, 3,970.38 and 2,654.29 is: 3,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.42 : 3,970.38 = 2,654.29 : x
  2. Step 2: Convert to fraction form
    2,875.42/3,970.38 = 2,654.29/x
  3. Step 3: Cross multiply
    2,875.42x = 3,970.38 × 2,654.29
  4. Step 4: Simplify right side
    2,875.42x = 10,538,539.93
  5. Step 5: Solve for x
    x = 10,538,539.93/2,875.42
  6. Step 6: Final answer
    x = 3,665.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.