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Finding the Fourth Proportional to 4,661.48, 6,432.34 and 2,565.48

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Solution

The fourth proportional to 4,661.48, 6,432.34 and 2,565.48 is: 3,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.48 : 6,432.34 = 2,565.48 : x
  2. Step 2: Convert to fraction form
    4,661.48/6,432.34 = 2,565.48/x
  3. Step 3: Cross multiply
    4,661.48x = 6,432.34 × 2,565.48
  4. Step 4: Simplify right side
    4,661.48x = 16,502,039.62
  5. Step 5: Solve for x
    x = 16,502,039.62/4,661.48
  6. Step 6: Final answer
    x = 3,540.09

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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.