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Finding the Fourth Proportional to 5,342.04, 7,372.04 and 2,984.22

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Solution

The fourth proportional to 5,342.04, 7,372.04 and 2,984.22 is: 4,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.04 : 7,372.04 = 2,984.22 : x
  2. Step 2: Convert to fraction form
    5,342.04/7,372.04 = 2,984.22/x
  3. Step 3: Cross multiply
    5,342.04x = 7,372.04 × 2,984.22
  4. Step 4: Simplify right side
    5,342.04x = 21,999,774.29
  5. Step 5: Solve for x
    x = 21,999,774.29/5,342.04
  6. Step 6: Final answer
    x = 4,118.23

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1.5x scale

Why These Related Problems?

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