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Finding the Fourth Proportional to 5,222.36, 7,206.46 and 2,984.28

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Solution

The fourth proportional to 5,222.36, 7,206.46 and 2,984.28 is: 4,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.36 : 7,206.46 = 2,984.28 : x
  2. Step 2: Convert to fraction form
    5,222.36/7,206.46 = 2,984.28/x
  3. Step 3: Cross multiply
    5,222.36x = 7,206.46 × 2,984.28
  4. Step 4: Simplify right side
    5,222.36x = 21,506,094.45
  5. Step 5: Solve for x
    x = 21,506,094.45/5,222.36
  6. Step 6: Final answer
    x = 4,118.08

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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.