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Finding the Fourth Proportional to 5,772.15, 7,964.98 and 3,534.66

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Solution

The fourth proportional to 5,772.15, 7,964.98 and 3,534.66 is: 4,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.15 : 7,964.98 = 3,534.66 : x
  2. Step 2: Convert to fraction form
    5,772.15/7,964.98 = 3,534.66/x
  3. Step 3: Cross multiply
    5,772.15x = 7,964.98 × 3,534.66
  4. Step 4: Simplify right side
    5,772.15x = 28,153,496.21
  5. Step 5: Solve for x
    x = 28,153,496.21/5,772.15
  6. Step 6: Final answer
    x = 4,877.47

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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.