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Finding the Fourth Proportional to 5,655.68, 7,803.25 and 4,456.95

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Solution

The fourth proportional to 5,655.68, 7,803.25 and 4,456.95 is: 6,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.68 : 7,803.25 = 4,456.95 : x
  2. Step 2: Convert to fraction form
    5,655.68/7,803.25 = 4,456.95/x
  3. Step 3: Cross multiply
    5,655.68x = 7,803.25 × 4,456.95
  4. Step 4: Simplify right side
    5,655.68x = 34,778,695.09
  5. Step 5: Solve for x
    x = 34,778,695.09/5,655.68
  6. Step 6: Final answer
    x = 6,149.34

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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.