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Finding the Fourth Proportional to 5,297.60, 7,311.36 and 5,064.32

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Solution

The fourth proportional to 5,297.60, 7,311.36 and 5,064.32 is: 6,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.60 : 7,311.36 = 5,064.32 : x
  2. Step 2: Convert to fraction form
    5,297.60/7,311.36 = 5,064.32/x
  3. Step 3: Cross multiply
    5,297.60x = 7,311.36 × 5,064.32
  4. Step 4: Simplify right side
    5,297.60x = 37,027,066.68
  5. Step 5: Solve for x
    x = 37,027,066.68/5,297.60
  6. Step 6: Final answer
    x = 6,989.40

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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.