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Finding the Fourth Proportional to 4,612.32, 6,918.20 and 1,492.26

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Solution

The fourth proportional to 4,612.32, 6,918.20 and 1,492.26 is: 2,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.32 : 6,918.20 = 1,492.26 : x
  2. Step 2: Convert to fraction form
    4,612.32/6,918.20 = 1,492.26/x
  3. Step 3: Cross multiply
    4,612.32x = 6,918.20 × 1,492.26
  4. Step 4: Simplify right side
    4,612.32x = 10,323,753.13
  5. Step 5: Solve for x
    x = 10,323,753.13/4,612.32
  6. Step 6: Final answer
    x = 2,238.30

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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.