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Finding the Fourth Proportional to 5,407.24, 7,462.74 and 4,521.64

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Solution

The fourth proportional to 5,407.24, 7,462.74 and 4,521.64 is: 6,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.24 : 7,462.74 = 4,521.64 : x
  2. Step 2: Convert to fraction form
    5,407.24/7,462.74 = 4,521.64/x
  3. Step 3: Cross multiply
    5,407.24x = 7,462.74 × 4,521.64
  4. Step 4: Simplify right side
    5,407.24x = 33,743,823.69
  5. Step 5: Solve for x
    x = 33,743,823.69/5,407.24
  6. Step 6: Final answer
    x = 6,240.49

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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.