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Finding the Fourth Proportional to 5,416.74, 7,464.20 and 3,526.20

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Solution

The fourth proportional to 5,416.74, 7,464.20 and 3,526.20 is: 4,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.74 : 7,464.20 = 3,526.20 : x
  2. Step 2: Convert to fraction form
    5,416.74/7,464.20 = 3,526.20/x
  3. Step 3: Cross multiply
    5,416.74x = 7,464.20 × 3,526.20
  4. Step 4: Simplify right side
    5,416.74x = 26,320,244.41
  5. Step 5: Solve for x
    x = 26,320,244.41/5,416.74
  6. Step 6: Final answer
    x = 4,859.06

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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.