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Finding the Fourth Proportional to 4,820.68, 7,230.84 and 1,357.84

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Solution

The fourth proportional to 4,820.68, 7,230.84 and 1,357.84 is: 2,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.68 : 7,230.84 = 1,357.84 : x
  2. Step 2: Convert to fraction form
    4,820.68/7,230.84 = 1,357.84/x
  3. Step 3: Cross multiply
    4,820.68x = 7,230.84 × 1,357.84
  4. Step 4: Simplify right side
    4,820.68x = 9,818,323.79
  5. Step 5: Solve for x
    x = 9,818,323.79/4,820.68
  6. Step 6: Final answer
    x = 2,036.71

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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.