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Finding the Fourth Proportional to 4,648.65, 6,415.34 and 2,659.20

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Solution

The fourth proportional to 4,648.65, 6,415.34 and 2,659.20 is: 3,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.65 : 6,415.34 = 2,659.20 : x
  2. Step 2: Convert to fraction form
    4,648.65/6,415.34 = 2,659.20/x
  3. Step 3: Cross multiply
    4,648.65x = 6,415.34 × 2,659.20
  4. Step 4: Simplify right side
    4,648.65x = 17,059,658.83
  5. Step 5: Solve for x
    x = 17,059,658.83/4,648.65
  6. Step 6: Final answer
    x = 3,669.81

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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.