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Finding the Fourth Proportional to 4,720.32, 6,514.02 and 2,730.78

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Solution

The fourth proportional to 4,720.32, 6,514.02 and 2,730.78 is: 3,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.32 : 6,514.02 = 2,730.78 : x
  2. Step 2: Convert to fraction form
    4,720.32/6,514.02 = 2,730.78/x
  3. Step 3: Cross multiply
    4,720.32x = 6,514.02 × 2,730.78
  4. Step 4: Simplify right side
    4,720.32x = 17,788,355.54
  5. Step 5: Solve for x
    x = 17,788,355.54/4,720.32
  6. Step 6: Final answer
    x = 3,768.46

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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.