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Finding the Fourth Proportional to 4,607.16, 6,909.80 and 3,832.16

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Solution

The fourth proportional to 4,607.16, 6,909.80 and 3,832.16 is: 5,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.16 : 6,909.80 = 3,832.16 : x
  2. Step 2: Convert to fraction form
    4,607.16/6,909.80 = 3,832.16/x
  3. Step 3: Cross multiply
    4,607.16x = 6,909.80 × 3,832.16
  4. Step 4: Simplify right side
    4,607.16x = 26,479,405.46
  5. Step 5: Solve for x
    x = 26,479,405.46/4,607.16
  6. Step 6: Final answer
    x = 5,747.45

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