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Finding the Fourth Proportional to 4,892.56, 7,341.48 and 2,295.52

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Solution

The fourth proportional to 4,892.56, 7,341.48 and 2,295.52 is: 3,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.56 : 7,341.48 = 2,295.52 : x
  2. Step 2: Convert to fraction form
    4,892.56/7,341.48 = 2,295.52/x
  3. Step 3: Cross multiply
    4,892.56x = 7,341.48 × 2,295.52
  4. Step 4: Simplify right side
    4,892.56x = 16,852,514.17
  5. Step 5: Solve for x
    x = 16,852,514.17/4,892.56
  6. Step 6: Final answer
    x = 3,444.52

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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.