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Finding the Fourth Proportional to 4,764.98, 6,569.55 and 3,083.42

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Solution

The fourth proportional to 4,764.98, 6,569.55 and 3,083.42 is: 4,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.98 : 6,569.55 = 3,083.42 : x
  2. Step 2: Convert to fraction form
    4,764.98/6,569.55 = 3,083.42/x
  3. Step 3: Cross multiply
    4,764.98x = 6,569.55 × 3,083.42
  4. Step 4: Simplify right side
    4,764.98x = 20,256,649.01
  5. Step 5: Solve for x
    x = 20,256,649.01/4,764.98
  6. Step 6: Final answer
    x = 4,251.16

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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.