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Finding the Fourth Proportional to 5,594.61, 7,720.77 and 3,204.95

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Solution

The fourth proportional to 5,594.61, 7,720.77 and 3,204.95 is: 4,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.61 : 7,720.77 = 3,204.95 : x
  2. Step 2: Convert to fraction form
    5,594.61/7,720.77 = 3,204.95/x
  3. Step 3: Cross multiply
    5,594.61x = 7,720.77 × 3,204.95
  4. Step 4: Simplify right side
    5,594.61x = 24,744,643.21
  5. Step 5: Solve for x
    x = 24,744,643.21/5,594.61
  6. Step 6: Final answer
    x = 4,422.94

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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.