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Finding the Fourth Proportional to 4,656.34, 6,983.01 and 1,535.62

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Solution

The fourth proportional to 4,656.34, 6,983.01 and 1,535.62 is: 2,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.34 : 6,983.01 = 1,535.62 : x
  2. Step 2: Convert to fraction form
    4,656.34/6,983.01 = 1,535.62/x
  3. Step 3: Cross multiply
    4,656.34x = 6,983.01 × 1,535.62
  4. Step 4: Simplify right side
    4,656.34x = 10,723,249.82
  5. Step 5: Solve for x
    x = 10,723,249.82/4,656.34
  6. Step 6: Final answer
    x = 2,302.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.