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Finding the Fourth Proportional to 5,222.64, 7,206.82 and 2,984.20

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Solution

The fourth proportional to 5,222.64, 7,206.82 and 2,984.20 is: 4,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.64 : 7,206.82 = 2,984.20 : x
  2. Step 2: Convert to fraction form
    5,222.64/7,206.82 = 2,984.20/x
  3. Step 3: Cross multiply
    5,222.64x = 7,206.82 × 2,984.20
  4. Step 4: Simplify right side
    5,222.64x = 21,506,592.24
  5. Step 5: Solve for x
    x = 21,506,592.24/5,222.64
  6. Step 6: Final answer
    x = 4,117.95

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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.