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Finding the Fourth Proportional to 5,506.89, 8,258.58 and 1,808.28

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Solution

The fourth proportional to 5,506.89, 8,258.58 and 1,808.28 is: 2,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.89 : 8,258.58 = 1,808.28 : x
  2. Step 2: Convert to fraction form
    5,506.89/8,258.58 = 1,808.28/x
  3. Step 3: Cross multiply
    5,506.89x = 8,258.58 × 1,808.28
  4. Step 4: Simplify right side
    5,506.89x = 14,933,825.04
  5. Step 5: Solve for x
    x = 14,933,825.04/5,506.89
  6. Step 6: Final answer
    x = 2,711.84

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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.