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Finding the Fourth Proportional to 4,902.03, 7,344.18 and 2,271.74

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Solution

The fourth proportional to 4,902.03, 7,344.18 and 2,271.74 is: 3,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.03 : 7,344.18 = 2,271.74 : x
  2. Step 2: Convert to fraction form
    4,902.03/7,344.18 = 2,271.74/x
  3. Step 3: Cross multiply
    4,902.03x = 7,344.18 × 2,271.74
  4. Step 4: Simplify right side
    4,902.03x = 16,684,030.75
  5. Step 5: Solve for x
    x = 16,684,030.75/4,902.03
  6. Step 6: Final answer
    x = 3,403.49

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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.