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Finding the Fourth Proportional to 4,764.74, 6,565.98 and 3,646.94

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Solution

The fourth proportional to 4,764.74, 6,565.98 and 3,646.94 is: 5,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.74 : 6,565.98 = 3,646.94 : x
  2. Step 2: Convert to fraction form
    4,764.74/6,565.98 = 3,646.94/x
  3. Step 3: Cross multiply
    4,764.74x = 6,565.98 × 3,646.94
  4. Step 4: Simplify right side
    4,764.74x = 23,945,735.10
  5. Step 5: Solve for x
    x = 23,945,735.10/4,764.74
  6. Step 6: Final answer
    x = 5,025.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.