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Finding the Fourth Proportional to 4,920, 7,396.20 and 4,559.16

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Solution

The fourth proportional to 4,920, 7,396.20 and 4,559.16 is: 6,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920 : 7,396.20 = 4,559.16 : x
  2. Step 2: Convert to fraction form
    4,920/7,396.20 = 4,559.16/x
  3. Step 3: Cross multiply
    4,920x = 7,396.20 × 4,559.16
  4. Step 4: Simplify right side
    4,920x = 33,720,459.19
  5. Step 5: Solve for x
    x = 33,720,459.19/4,920
  6. Step 6: Final answer
    x = 6,853.75

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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.