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Finding the Fourth Proportional to 3,486.69, 5,228.93 and 1,146.15

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Solution

The fourth proportional to 3,486.69, 5,228.93 and 1,146.15 is: 1,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.69 : 5,228.93 = 1,146.15 : x
  2. Step 2: Convert to fraction form
    3,486.69/5,228.93 = 1,146.15/x
  3. Step 3: Cross multiply
    3,486.69x = 5,228.93 × 1,146.15
  4. Step 4: Simplify right side
    3,486.69x = 5,993,159.05
  5. Step 5: Solve for x
    x = 5,993,159.05/3,486.69
  6. Step 6: Final answer
    x = 1,718.87

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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.