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Finding the Fourth Proportional to 3,423.75, 4,722.95 and 2,302.76

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Solution

The fourth proportional to 3,423.75, 4,722.95 and 2,302.76 is: 3,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.75 : 4,722.95 = 2,302.76 : x
  2. Step 2: Convert to fraction form
    3,423.75/4,722.95 = 2,302.76/x
  3. Step 3: Cross multiply
    3,423.75x = 4,722.95 × 2,302.76
  4. Step 4: Simplify right side
    3,423.75x = 10,875,785.21
  5. Step 5: Solve for x
    x = 10,875,785.21/3,423.75
  6. Step 6: Final answer
    x = 3,176.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.