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Finding the Fourth Proportional to 4,741.68, 7,111.70 and 1,453.90

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Solution

The fourth proportional to 4,741.68, 7,111.70 and 1,453.90 is: 2,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.68 : 7,111.70 = 1,453.90 : x
  2. Step 2: Convert to fraction form
    4,741.68/7,111.70 = 1,453.90/x
  3. Step 3: Cross multiply
    4,741.68x = 7,111.70 × 1,453.90
  4. Step 4: Simplify right side
    4,741.68x = 10,339,700.63
  5. Step 5: Solve for x
    x = 10,339,700.63/4,741.68
  6. Step 6: Final answer
    x = 2,180.60

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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.