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Finding the Fourth Proportional to 5,764.10, 8,641.49 and 5,302.80

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Solution

The fourth proportional to 5,764.10, 8,641.49 and 5,302.80 is: 7,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.10 : 8,641.49 = 5,302.80 : x
  2. Step 2: Convert to fraction form
    5,764.10/8,641.49 = 5,302.80/x
  3. Step 3: Cross multiply
    5,764.10x = 8,641.49 × 5,302.80
  4. Step 4: Simplify right side
    5,764.10x = 45,824,066.66
  5. Step 5: Solve for x
    x = 45,824,066.66/5,764.10
  6. Step 6: Final answer
    x = 7,949.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.