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Finding the Fourth Proportional to 4,719.53, 7,078.84 and 1,432.65

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Solution

The fourth proportional to 4,719.53, 7,078.84 and 1,432.65 is: 2,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.53 : 7,078.84 = 1,432.65 : x
  2. Step 2: Convert to fraction form
    4,719.53/7,078.84 = 1,432.65/x
  3. Step 3: Cross multiply
    4,719.53x = 7,078.84 × 1,432.65
  4. Step 4: Simplify right side
    4,719.53x = 10,141,500.13
  5. Step 5: Solve for x
    x = 10,141,500.13/4,719.53
  6. Step 6: Final answer
    x = 2,148.84

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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.