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Finding the Fourth Proportional to 4,532, 6,254.14 and 2,643.66

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Solution

The fourth proportional to 4,532, 6,254.14 and 2,643.66 is: 3,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532 : 6,254.14 = 2,643.66 : x
  2. Step 2: Convert to fraction form
    4,532/6,254.14 = 2,643.66/x
  3. Step 3: Cross multiply
    4,532x = 6,254.14 × 2,643.66
  4. Step 4: Simplify right side
    4,532x = 16,533,819.75
  5. Step 5: Solve for x
    x = 16,533,819.75/4,532
  6. Step 6: Final answer
    x = 3,648.24

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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.