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Finding the Fourth Proportional to 4,503.17, 6,214.07 and 2,824.50

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Solution

The fourth proportional to 4,503.17, 6,214.07 and 2,824.50 is: 3,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.17 : 6,214.07 = 2,824.50 : x
  2. Step 2: Convert to fraction form
    4,503.17/6,214.07 = 2,824.50/x
  3. Step 3: Cross multiply
    4,503.17x = 6,214.07 × 2,824.50
  4. Step 4: Simplify right side
    4,503.17x = 17,551,626.59
  5. Step 5: Solve for x
    x = 17,551,626.59/4,503.17
  6. Step 6: Final answer
    x = 3,897.62

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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.