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Finding the Fourth Proportional to 4,102.65, 5,659.92 and 2,611.30

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Solution

The fourth proportional to 4,102.65, 5,659.92 and 2,611.30 is: 3,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.65 : 5,659.92 = 2,611.30 : x
  2. Step 2: Convert to fraction form
    4,102.65/5,659.92 = 2,611.30/x
  3. Step 3: Cross multiply
    4,102.65x = 5,659.92 × 2,611.30
  4. Step 4: Simplify right side
    4,102.65x = 14,779,749.10
  5. Step 5: Solve for x
    x = 14,779,749.10/4,102.65
  6. Step 6: Final answer
    x = 3,602.49

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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.