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Finding the Fourth Proportional to 3,416.58, 5,120.89 and 1,567.89

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Solution

The fourth proportional to 3,416.58, 5,120.89 and 1,567.89 is: 2,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.58 : 5,120.89 = 1,567.89 : x
  2. Step 2: Convert to fraction form
    3,416.58/5,120.89 = 1,567.89/x
  3. Step 3: Cross multiply
    3,416.58x = 5,120.89 × 1,567.89
  4. Step 4: Simplify right side
    3,416.58x = 8,028,988.30
  5. Step 5: Solve for x
    x = 8,028,988.30/3,416.58
  6. Step 6: Final answer
    x = 2,350.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.