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Finding the Fourth Proportional to 3,459.30, 5,188.14 and 1,266.84

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Solution

The fourth proportional to 3,459.30, 5,188.14 and 1,266.84 is: 1,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.30 : 5,188.14 = 1,266.84 : x
  2. Step 2: Convert to fraction form
    3,459.30/5,188.14 = 1,266.84/x
  3. Step 3: Cross multiply
    3,459.30x = 5,188.14 × 1,266.84
  4. Step 4: Simplify right side
    3,459.30x = 6,572,543.28
  5. Step 5: Solve for x
    x = 6,572,543.28/3,459.30
  6. Step 6: Final answer
    x = 1,899.96

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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.