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Finding the Fourth Proportional to 5,549.68, 7,656.06 and 3,424.24

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Solution

The fourth proportional to 5,549.68, 7,656.06 and 3,424.24 is: 4,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.68 : 7,656.06 = 3,424.24 : x
  2. Step 2: Convert to fraction form
    5,549.68/7,656.06 = 3,424.24/x
  3. Step 3: Cross multiply
    5,549.68x = 7,656.06 × 3,424.24
  4. Step 4: Simplify right side
    5,549.68x = 26,216,186.89
  5. Step 5: Solve for x
    x = 26,216,186.89/5,549.68
  6. Step 6: Final answer
    x = 4,723.91

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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.