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Finding the Fourth Proportional to 4,856.64, 7,250.08 and 4,514.08

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Solution

The fourth proportional to 4,856.64, 7,250.08 and 4,514.08 is: 6,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.64 : 7,250.08 = 4,514.08 : x
  2. Step 2: Convert to fraction form
    4,856.64/7,250.08 = 4,514.08/x
  3. Step 3: Cross multiply
    4,856.64x = 7,250.08 × 4,514.08
  4. Step 4: Simplify right side
    4,856.64x = 32,727,441.13
  5. Step 5: Solve for x
    x = 32,727,441.13/4,856.64
  6. Step 6: Final answer
    x = 6,738.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.