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Finding the Fourth Proportional to 4,648.50, 6,407.28 and 3,234.24

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Solution

The fourth proportional to 4,648.50, 6,407.28 and 3,234.24 is: 4,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.50 : 6,407.28 = 3,234.24 : x
  2. Step 2: Convert to fraction form
    4,648.50/6,407.28 = 3,234.24/x
  3. Step 3: Cross multiply
    4,648.50x = 6,407.28 × 3,234.24
  4. Step 4: Simplify right side
    4,648.50x = 20,722,681.27
  5. Step 5: Solve for x
    x = 20,722,681.27/4,648.50
  6. Step 6: Final answer
    x = 4,457.93

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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.