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Finding the Fourth Proportional to 3,142.49, 4,709.57 and 2,623.50

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Solution

The fourth proportional to 3,142.49, 4,709.57 and 2,623.50 is: 3,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.49 : 4,709.57 = 2,623.50 : x
  2. Step 2: Convert to fraction form
    3,142.49/4,709.57 = 2,623.50/x
  3. Step 3: Cross multiply
    3,142.49x = 4,709.57 × 2,623.50
  4. Step 4: Simplify right side
    3,142.49x = 12,355,543.78
  5. Step 5: Solve for x
    x = 12,355,543.78/3,142.49
  6. Step 6: Final answer
    x = 3,931.77

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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.