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Finding the Fourth Proportional to 4,567.58, 6,851.36 and 1,645.88

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Solution

The fourth proportional to 4,567.58, 6,851.36 and 1,645.88 is: 2,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.58 : 6,851.36 = 1,645.88 : x
  2. Step 2: Convert to fraction form
    4,567.58/6,851.36 = 1,645.88/x
  3. Step 3: Cross multiply
    4,567.58x = 6,851.36 × 1,645.88
  4. Step 4: Simplify right side
    4,567.58x = 11,276,473.91
  5. Step 5: Solve for x
    x = 11,276,473.91/4,567.58
  6. Step 6: Final answer
    x = 2,468.81

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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.