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Finding the Fourth Proportional to 5,465.88, 8,193.24 and 4,809.78

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Solution

The fourth proportional to 5,465.88, 8,193.24 and 4,809.78 is: 7,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.88 : 8,193.24 = 4,809.78 : x
  2. Step 2: Convert to fraction form
    5,465.88/8,193.24 = 4,809.78/x
  3. Step 3: Cross multiply
    5,465.88x = 8,193.24 × 4,809.78
  4. Step 4: Simplify right side
    5,465.88x = 39,407,681.89
  5. Step 5: Solve for x
    x = 39,407,681.89/5,465.88
  6. Step 6: Final answer
    x = 7,209.76

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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.