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Finding the Fourth Proportional to 5,618.61, 7,754.31 and 4,218.93

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Solution

The fourth proportional to 5,618.61, 7,754.31 and 4,218.93 is: 5,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.61 : 7,754.31 = 4,218.93 : x
  2. Step 2: Convert to fraction form
    5,618.61/7,754.31 = 4,218.93/x
  3. Step 3: Cross multiply
    5,618.61x = 7,754.31 × 4,218.93
  4. Step 4: Simplify right side
    5,618.61x = 32,714,891.09
  5. Step 5: Solve for x
    x = 32,714,891.09/5,618.61
  6. Step 6: Final answer
    x = 5,822.60

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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.