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Finding the Fourth Proportional to 5,663.66, 7,816.02 and 3,425.95

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Solution

The fourth proportional to 5,663.66, 7,816.02 and 3,425.95 is: 4,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.66 : 7,816.02 = 3,425.95 : x
  2. Step 2: Convert to fraction form
    5,663.66/7,816.02 = 3,425.95/x
  3. Step 3: Cross multiply
    5,663.66x = 7,816.02 × 3,425.95
  4. Step 4: Simplify right side
    5,663.66x = 26,777,254.64
  5. Step 5: Solve for x
    x = 26,777,254.64/5,663.66
  6. Step 6: Final answer
    x = 4,727.91

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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.