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Finding the Fourth Proportional to 3,542.64, 5,312.04 and 2,310

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Solution

The fourth proportional to 3,542.64, 5,312.04 and 2,310 is: 3,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.64 : 5,312.04 = 2,310 : x
  2. Step 2: Convert to fraction form
    3,542.64/5,312.04 = 2,310/x
  3. Step 3: Cross multiply
    3,542.64x = 5,312.04 × 2,310
  4. Step 4: Simplify right side
    3,542.64x = 12,270,812.40
  5. Step 5: Solve for x
    x = 12,270,812.40/3,542.64
  6. Step 6: Final answer
    x = 3,463.75

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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.