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Finding the Fourth Proportional to 4,065.53, 6,098.66 and 1,143.86

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Solution

The fourth proportional to 4,065.53, 6,098.66 and 1,143.86 is: 1,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.53 : 6,098.66 = 1,143.86 : x
  2. Step 2: Convert to fraction form
    4,065.53/6,098.66 = 1,143.86/x
  3. Step 3: Cross multiply
    4,065.53x = 6,098.66 × 1,143.86
  4. Step 4: Simplify right side
    4,065.53x = 6,976,007.51
  5. Step 5: Solve for x
    x = 6,976,007.51/4,065.53
  6. Step 6: Final answer
    x = 1,715.89

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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.