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Finding the Fourth Proportional to 4,207.80, 5,808.48 and 2,715.84

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Solution

The fourth proportional to 4,207.80, 5,808.48 and 2,715.84 is: 3,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.80 : 5,808.48 = 2,715.84 : x
  2. Step 2: Convert to fraction form
    4,207.80/5,808.48 = 2,715.84/x
  3. Step 3: Cross multiply
    4,207.80x = 5,808.48 × 2,715.84
  4. Step 4: Simplify right side
    4,207.80x = 15,774,902.32
  5. Step 5: Solve for x
    x = 15,774,902.32/4,207.80
  6. Step 6: Final answer
    x = 3,748.97

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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.