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Finding the Fourth Proportional to 3,307.81, 4,962.11 and 1,459.39

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Solution

The fourth proportional to 3,307.81, 4,962.11 and 1,459.39 is: 2,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.81 : 4,962.11 = 1,459.39 : x
  2. Step 2: Convert to fraction form
    3,307.81/4,962.11 = 1,459.39/x
  3. Step 3: Cross multiply
    3,307.81x = 4,962.11 × 1,459.39
  4. Step 4: Simplify right side
    3,307.81x = 7,241,628.90
  5. Step 5: Solve for x
    x = 7,241,628.90/3,307.81
  6. Step 6: Final answer
    x = 2,189.26

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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.