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Finding the Fourth Proportional to 5,343.04, 7,376.16 and 3,684.16

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Solution

The fourth proportional to 5,343.04, 7,376.16 and 3,684.16 is: 5,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.04 : 7,376.16 = 3,684.16 : x
  2. Step 2: Convert to fraction form
    5,343.04/7,376.16 = 3,684.16/x
  3. Step 3: Cross multiply
    5,343.04x = 7,376.16 × 3,684.16
  4. Step 4: Simplify right side
    5,343.04x = 27,174,953.63
  5. Step 5: Solve for x
    x = 27,174,953.63/5,343.04
  6. Step 6: Final answer
    x = 5,086.05

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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.