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Finding the Fourth Proportional to 4,643.61, 6,964.32 and 2,770.02

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Solution

The fourth proportional to 4,643.61, 6,964.32 and 2,770.02 is: 4,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.61 : 6,964.32 = 2,770.02 : x
  2. Step 2: Convert to fraction form
    4,643.61/6,964.32 = 2,770.02/x
  3. Step 3: Cross multiply
    4,643.61x = 6,964.32 × 2,770.02
  4. Step 4: Simplify right side
    4,643.61x = 19,291,305.69
  5. Step 5: Solve for x
    x = 19,291,305.69/4,643.61
  6. Step 6: Final answer
    x = 4,154.38

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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.