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Finding the Fourth Proportional to 4,720.59, 6,515.34 and 2,731.78

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Solution

The fourth proportional to 4,720.59, 6,515.34 and 2,731.78 is: 3,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.59 : 6,515.34 = 2,731.78 : x
  2. Step 2: Convert to fraction form
    4,720.59/6,515.34 = 2,731.78/x
  3. Step 3: Cross multiply
    4,720.59x = 6,515.34 × 2,731.78
  4. Step 4: Simplify right side
    4,720.59x = 17,798,475.51
  5. Step 5: Solve for x
    x = 17,798,475.51/4,720.59
  6. Step 6: Final answer
    x = 3,770.39

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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.