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Finding the Fourth Proportional to 5,297.60, 7,301.88 and 3,722.96

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Solution

The fourth proportional to 5,297.60, 7,301.88 and 3,722.96 is: 5,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.60 : 7,301.88 = 3,722.96 : x
  2. Step 2: Convert to fraction form
    5,297.60/7,301.88 = 3,722.96/x
  3. Step 3: Cross multiply
    5,297.60x = 7,301.88 × 3,722.96
  4. Step 4: Simplify right side
    5,297.60x = 27,184,607.16
  5. Step 5: Solve for x
    x = 27,184,607.16/5,297.60
  6. Step 6: Final answer
    x = 5,131.49

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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.