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Finding the Fourth Proportional to 4,646.47, 6,964.44 and 2,308.10

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Solution

The fourth proportional to 4,646.47, 6,964.44 and 2,308.10 is: 3,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.47 : 6,964.44 = 2,308.10 : x
  2. Step 2: Convert to fraction form
    4,646.47/6,964.44 = 2,308.10/x
  3. Step 3: Cross multiply
    4,646.47x = 6,964.44 × 2,308.10
  4. Step 4: Simplify right side
    4,646.47x = 16,074,577.60
  5. Step 5: Solve for x
    x = 16,074,577.60/4,646.47
  6. Step 6: Final answer
    x = 3,459.53

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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.