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Finding the Fourth Proportional to 2,652.08, 3,654.84 and 2,587.28

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Solution

The fourth proportional to 2,652.08, 3,654.84 and 2,587.28 is: 3,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.08 : 3,654.84 = 2,587.28 : x
  2. Step 2: Convert to fraction form
    2,652.08/3,654.84 = 2,587.28/x
  3. Step 3: Cross multiply
    2,652.08x = 3,654.84 × 2,587.28
  4. Step 4: Simplify right side
    2,652.08x = 9,456,094.44
  5. Step 5: Solve for x
    x = 9,456,094.44/2,652.08
  6. Step 6: Final answer
    x = 3,565.54

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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.