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Finding the Fourth Proportional to 3,009.96, 4,515.50 and 929.57

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Solution

The fourth proportional to 3,009.96, 4,515.50 and 929.57 is: 1,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.96 : 4,515.50 = 929.57 : x
  2. Step 2: Convert to fraction form
    3,009.96/4,515.50 = 929.57/x
  3. Step 3: Cross multiply
    3,009.96x = 4,515.50 × 929.57
  4. Step 4: Simplify right side
    3,009.96x = 4,197,446.11
  5. Step 5: Solve for x
    x = 4,197,446.11/3,009.96
  6. Step 6: Final answer
    x = 1,394.52

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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.