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Finding the Fourth Proportional to 5,616.88, 7,746.98 and 4,294.96

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Solution

The fourth proportional to 5,616.88, 7,746.98 and 4,294.96 is: 5,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.88 : 7,746.98 = 4,294.96 : x
  2. Step 2: Convert to fraction form
    5,616.88/7,746.98 = 4,294.96/x
  3. Step 3: Cross multiply
    5,616.88x = 7,746.98 × 4,294.96
  4. Step 4: Simplify right side
    5,616.88x = 33,272,969.22
  5. Step 5: Solve for x
    x = 33,272,969.22/5,616.88
  6. Step 6: Final answer
    x = 5,923.75

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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.