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Finding the Fourth Proportional to 4,862.48, 7,292.64 and 2,264

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Solution

The fourth proportional to 4,862.48, 7,292.64 and 2,264 is: 3,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.48 : 7,292.64 = 2,264 : x
  2. Step 2: Convert to fraction form
    4,862.48/7,292.64 = 2,264/x
  3. Step 3: Cross multiply
    4,862.48x = 7,292.64 × 2,264
  4. Step 4: Simplify right side
    4,862.48x = 16,510,536.96
  5. Step 5: Solve for x
    x = 16,510,536.96/4,862.48
  6. Step 6: Final answer
    x = 3,395.50

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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.