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Finding the Fourth Proportional to 4,643.76, 6,965.64 and 3,114.48

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Solution

The fourth proportional to 4,643.76, 6,965.64 and 3,114.48 is: 4,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.76 : 6,965.64 = 3,114.48 : x
  2. Step 2: Convert to fraction form
    4,643.76/6,965.64 = 3,114.48/x
  3. Step 3: Cross multiply
    4,643.76x = 6,965.64 × 3,114.48
  4. Step 4: Simplify right side
    4,643.76x = 21,694,346.47
  5. Step 5: Solve for x
    x = 21,694,346.47/4,643.76
  6. Step 6: Final answer
    x = 4,671.72

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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.