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Finding the Fourth Proportional to 4,537.68, 6,808.95 and 4,207.20

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Solution

The fourth proportional to 4,537.68, 6,808.95 and 4,207.20 is: 6,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.68 : 6,808.95 = 4,207.20 : x
  2. Step 2: Convert to fraction form
    4,537.68/6,808.95 = 4,207.20/x
  3. Step 3: Cross multiply
    4,537.68x = 6,808.95 × 4,207.20
  4. Step 4: Simplify right side
    4,537.68x = 28,646,614.44
  5. Step 5: Solve for x
    x = 28,646,614.44/4,537.68
  6. Step 6: Final answer
    x = 6,313.05

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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.