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Finding the Fourth Proportional to 5,297.22, 7,308 and 3,173.40

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Solution

The fourth proportional to 5,297.22, 7,308 and 3,173.40 is: 4,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.22 : 7,308 = 3,173.40 : x
  2. Step 2: Convert to fraction form
    5,297.22/7,308 = 3,173.40/x
  3. Step 3: Cross multiply
    5,297.22x = 7,308 × 3,173.40
  4. Step 4: Simplify right side
    5,297.22x = 23,191,207.20
  5. Step 5: Solve for x
    x = 23,191,207.20/5,297.22
  6. Step 6: Final answer
    x = 4,378.00

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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.