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Finding the Fourth Proportional to 5,230.68, 7,838.16 and 4,736.76

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Solution

The fourth proportional to 5,230.68, 7,838.16 and 4,736.76 is: 7,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.68 : 7,838.16 = 4,736.76 : x
  2. Step 2: Convert to fraction form
    5,230.68/7,838.16 = 4,736.76/x
  3. Step 3: Cross multiply
    5,230.68x = 7,838.16 × 4,736.76
  4. Step 4: Simplify right side
    5,230.68x = 37,127,482.76
  5. Step 5: Solve for x
    x = 37,127,482.76/5,230.68
  6. Step 6: Final answer
    x = 7,098.02

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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.