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Finding the Fourth Proportional to 3,099.84, 4,647.29 and 1,125.16

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Solution

The fourth proportional to 3,099.84, 4,647.29 and 1,125.16 is: 1,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.84 : 4,647.29 = 1,125.16 : x
  2. Step 2: Convert to fraction form
    3,099.84/4,647.29 = 1,125.16/x
  3. Step 3: Cross multiply
    3,099.84x = 4,647.29 × 1,125.16
  4. Step 4: Simplify right side
    3,099.84x = 5,228,944.82
  5. Step 5: Solve for x
    x = 5,228,944.82/3,099.84
  6. Step 6: Final answer
    x = 1,686.84

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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.