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Finding the Fourth Proportional to 4,656.67, 6,985.01 and 1,536.85

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Solution

The fourth proportional to 4,656.67, 6,985.01 and 1,536.85 is: 2,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.67 : 6,985.01 = 1,536.85 : x
  2. Step 2: Convert to fraction form
    4,656.67/6,985.01 = 1,536.85/x
  3. Step 3: Cross multiply
    4,656.67x = 6,985.01 × 1,536.85
  4. Step 4: Simplify right side
    4,656.67x = 10,734,870.01
  5. Step 5: Solve for x
    x = 10,734,870.01/4,656.67
  6. Step 6: Final answer
    x = 2,305.27

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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.