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Finding the Fourth Proportional to 4,952.32, 6,832.54 and 3,536.28

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Solution

The fourth proportional to 4,952.32, 6,832.54 and 3,536.28 is: 4,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.32 : 6,832.54 = 3,536.28 : x
  2. Step 2: Convert to fraction form
    4,952.32/6,832.54 = 3,536.28/x
  3. Step 3: Cross multiply
    4,952.32x = 6,832.54 × 3,536.28
  4. Step 4: Simplify right side
    4,952.32x = 24,161,774.55
  5. Step 5: Solve for x
    x = 24,161,774.55/4,952.32
  6. Step 6: Final answer
    x = 4,878.88

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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.