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Finding the Fourth Proportional to 5,767.73, 8,602.35 and 4,895.97

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Solution

The fourth proportional to 5,767.73, 8,602.35 and 4,895.97 is: 7,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.73 : 8,602.35 = 4,895.97 : x
  2. Step 2: Convert to fraction form
    5,767.73/8,602.35 = 4,895.97/x
  3. Step 3: Cross multiply
    5,767.73x = 8,602.35 × 4,895.97
  4. Step 4: Simplify right side
    5,767.73x = 42,116,847.53
  5. Step 5: Solve for x
    x = 42,116,847.53/5,767.73
  6. Step 6: Final answer
    x = 7,302.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.