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Finding the Fourth Proportional to 5,159.30, 7,739.51 and 1,648.49

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Solution

The fourth proportional to 5,159.30, 7,739.51 and 1,648.49 is: 2,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.30 : 7,739.51 = 1,648.49 : x
  2. Step 2: Convert to fraction form
    5,159.30/7,739.51 = 1,648.49/x
  3. Step 3: Cross multiply
    5,159.30x = 7,739.51 × 1,648.49
  4. Step 4: Simplify right side
    5,159.30x = 12,758,457.90
  5. Step 5: Solve for x
    x = 12,758,457.90/5,159.30
  6. Step 6: Final answer
    x = 2,472.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.