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Finding the Fourth Proportional to 4,492.42, 6,734.46 and 2,296.30

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Solution

The fourth proportional to 4,492.42, 6,734.46 and 2,296.30 is: 3,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.42 : 6,734.46 = 2,296.30 : x
  2. Step 2: Convert to fraction form
    4,492.42/6,734.46 = 2,296.30/x
  3. Step 3: Cross multiply
    4,492.42x = 6,734.46 × 2,296.30
  4. Step 4: Simplify right side
    4,492.42x = 15,464,340.50
  5. Step 5: Solve for x
    x = 15,464,340.50/4,492.42
  6. Step 6: Final answer
    x = 3,442.32

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1.5x scale

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.