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Finding the Fourth Proportional to 4,565.70, 6,308.01 and 4,215.78

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Solution

The fourth proportional to 4,565.70, 6,308.01 and 4,215.78 is: 5,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.70 : 6,308.01 = 4,215.78 : x
  2. Step 2: Convert to fraction form
    4,565.70/6,308.01 = 4,215.78/x
  3. Step 3: Cross multiply
    4,565.70x = 6,308.01 × 4,215.78
  4. Step 4: Simplify right side
    4,565.70x = 26,593,182.40
  5. Step 5: Solve for x
    x = 26,593,182.40/4,565.70
  6. Step 6: Final answer
    x = 5,824.56

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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.