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Finding the Fourth Proportional to 5,369.06, 7,412.55 and 3,509.30

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Solution

The fourth proportional to 5,369.06, 7,412.55 and 3,509.30 is: 4,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.06 : 7,412.55 = 3,509.30 : x
  2. Step 2: Convert to fraction form
    5,369.06/7,412.55 = 3,509.30/x
  3. Step 3: Cross multiply
    5,369.06x = 7,412.55 × 3,509.30
  4. Step 4: Simplify right side
    5,369.06x = 26,012,867.09
  5. Step 5: Solve for x
    x = 26,012,867.09/5,369.06
  6. Step 6: Final answer
    x = 4,844.96

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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.