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Finding the Fourth Proportional to 5,536.16, 8,304 and 1,376.08

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Solution

The fourth proportional to 5,536.16, 8,304 and 1,376.08 is: 2,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.16 : 8,304 = 1,376.08 : x
  2. Step 2: Convert to fraction form
    5,536.16/8,304 = 1,376.08/x
  3. Step 3: Cross multiply
    5,536.16x = 8,304 × 1,376.08
  4. Step 4: Simplify right side
    5,536.16x = 11,426,968.32
  5. Step 5: Solve for x
    x = 11,426,968.32/5,536.16
  6. Step 6: Final answer
    x = 2,064.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.