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Finding the Fourth Proportional to 4,807.35, 7,178.96 and 4,561.30

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Solution

The fourth proportional to 4,807.35, 7,178.96 and 4,561.30 is: 6,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.35 : 7,178.96 = 4,561.30 : x
  2. Step 2: Convert to fraction form
    4,807.35/7,178.96 = 4,561.30/x
  3. Step 3: Cross multiply
    4,807.35x = 7,178.96 × 4,561.30
  4. Step 4: Simplify right side
    4,807.35x = 32,745,390.25
  5. Step 5: Solve for x
    x = 32,745,390.25/4,807.35
  6. Step 6: Final answer
    x = 6,811.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.