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Finding the Fourth Proportional to 4,767.42, 7,151.33 and 1,482.74

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Solution

The fourth proportional to 4,767.42, 7,151.33 and 1,482.74 is: 2,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.42 : 7,151.33 = 1,482.74 : x
  2. Step 2: Convert to fraction form
    4,767.42/7,151.33 = 1,482.74/x
  3. Step 3: Cross multiply
    4,767.42x = 7,151.33 × 1,482.74
  4. Step 4: Simplify right side
    4,767.42x = 10,603,563.04
  5. Step 5: Solve for x
    x = 10,603,563.04/4,767.42
  6. Step 6: Final answer
    x = 2,224.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.