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Finding the Fourth Proportional to 3,459, 5,188.98 and 1,267.20

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Solution

The fourth proportional to 3,459, 5,188.98 and 1,267.20 is: 1,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459 : 5,188.98 = 1,267.20 : x
  2. Step 2: Convert to fraction form
    3,459/5,188.98 = 1,267.20/x
  3. Step 3: Cross multiply
    3,459x = 5,188.98 × 1,267.20
  4. Step 4: Simplify right side
    3,459x = 6,575,475.46
  5. Step 5: Solve for x
    x = 6,575,475.46/3,459
  6. Step 6: Final answer
    x = 1,900.98

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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.