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Finding the Fourth Proportional to 4,095.40, 6,143.02 and 1,322.28

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Solution

The fourth proportional to 4,095.40, 6,143.02 and 1,322.28 is: 1,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.40 : 6,143.02 = 1,322.28 : x
  2. Step 2: Convert to fraction form
    4,095.40/6,143.02 = 1,322.28/x
  3. Step 3: Cross multiply
    4,095.40x = 6,143.02 × 1,322.28
  4. Step 4: Simplify right side
    4,095.40x = 8,122,792.49
  5. Step 5: Solve for x
    x = 8,122,792.49/4,095.40
  6. Step 6: Final answer
    x = 1,983.39

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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.