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Finding the Fourth Proportional to 5,173.52, 7,741.76 and 4,482.60

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Solution

The fourth proportional to 5,173.52, 7,741.76 and 4,482.60 is: 6,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.52 : 7,741.76 = 4,482.60 : x
  2. Step 2: Convert to fraction form
    5,173.52/7,741.76 = 4,482.60/x
  3. Step 3: Cross multiply
    5,173.52x = 7,741.76 × 4,482.60
  4. Step 4: Simplify right side
    5,173.52x = 34,703,213.38
  5. Step 5: Solve for x
    x = 34,703,213.38/5,173.52
  6. Step 6: Final answer
    x = 6,707.85

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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.