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Finding the Fourth Proportional to 4,967.50, 6,852.28 and 3,101.26

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Solution

The fourth proportional to 4,967.50, 6,852.28 and 3,101.26 is: 4,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.50 : 6,852.28 = 3,101.26 : x
  2. Step 2: Convert to fraction form
    4,967.50/6,852.28 = 3,101.26/x
  3. Step 3: Cross multiply
    4,967.50x = 6,852.28 × 3,101.26
  4. Step 4: Simplify right side
    4,967.50x = 21,250,701.87
  5. Step 5: Solve for x
    x = 21,250,701.87/4,967.50
  6. Step 6: Final answer
    x = 4,277.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.