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Finding the Fourth Proportional to 5,307.50, 7,962.26 and 2,534.39

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Solution

The fourth proportional to 5,307.50, 7,962.26 and 2,534.39 is: 3,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.50 : 7,962.26 = 2,534.39 : x
  2. Step 2: Convert to fraction form
    5,307.50/7,962.26 = 2,534.39/x
  3. Step 3: Cross multiply
    5,307.50x = 7,962.26 × 2,534.39
  4. Step 4: Simplify right side
    5,307.50x = 20,179,419.64
  5. Step 5: Solve for x
    x = 20,179,419.64/5,307.50
  6. Step 6: Final answer
    x = 3,802.06

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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.