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Finding the Fourth Proportional to 4,646.51, 6,964.49 and 2,308.14

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Solution

The fourth proportional to 4,646.51, 6,964.49 and 2,308.14 is: 3,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.51 : 6,964.49 = 2,308.14 : x
  2. Step 2: Convert to fraction form
    4,646.51/6,964.49 = 2,308.14/x
  3. Step 3: Cross multiply
    4,646.51x = 6,964.49 × 2,308.14
  4. Step 4: Simplify right side
    4,646.51x = 16,075,023.72
  5. Step 5: Solve for x
    x = 16,075,023.72/4,646.51
  6. Step 6: Final answer
    x = 3,459.59

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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.