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Finding the Fourth Proportional to 4,562.28, 6,838.02 and 2,095.02

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Solution

The fourth proportional to 4,562.28, 6,838.02 and 2,095.02 is: 3,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.28 : 6,838.02 = 2,095.02 : x
  2. Step 2: Convert to fraction form
    4,562.28/6,838.02 = 2,095.02/x
  3. Step 3: Cross multiply
    4,562.28x = 6,838.02 × 2,095.02
  4. Step 4: Simplify right side
    4,562.28x = 14,325,788.66
  5. Step 5: Solve for x
    x = 14,325,788.66/4,562.28
  6. Step 6: Final answer
    x = 3,140.05

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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.