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Finding the Fourth Proportional to 5,224.30, 7,207.72 and 2,984.58

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Solution

The fourth proportional to 5,224.30, 7,207.72 and 2,984.58 is: 4,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.30 : 7,207.72 = 2,984.58 : x
  2. Step 2: Convert to fraction form
    5,224.30/7,207.72 = 2,984.58/x
  3. Step 3: Cross multiply
    5,224.30x = 7,207.72 × 2,984.58
  4. Step 4: Simplify right side
    5,224.30x = 21,512,009.50
  5. Step 5: Solve for x
    x = 21,512,009.50/5,224.30
  6. Step 6: Final answer
    x = 4,117.68

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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.