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Finding the Fourth Proportional to 4,715.76, 7,074.66 and 1,429.20

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Solution

The fourth proportional to 4,715.76, 7,074.66 and 1,429.20 is: 2,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.76 : 7,074.66 = 1,429.20 : x
  2. Step 2: Convert to fraction form
    4,715.76/7,074.66 = 1,429.20/x
  3. Step 3: Cross multiply
    4,715.76x = 7,074.66 × 1,429.20
  4. Step 4: Simplify right side
    4,715.76x = 10,111,104.07
  5. Step 5: Solve for x
    x = 10,111,104.07/4,715.76
  6. Step 6: Final answer
    x = 2,144.11

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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.