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Finding the Fourth Proportional to 4,678.93, 6,457.17 and 2,689.67

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Solution

The fourth proportional to 4,678.93, 6,457.17 and 2,689.67 is: 3,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.93 : 6,457.17 = 2,689.67 : x
  2. Step 2: Convert to fraction form
    4,678.93/6,457.17 = 2,689.67/x
  3. Step 3: Cross multiply
    4,678.93x = 6,457.17 × 2,689.67
  4. Step 4: Simplify right side
    4,678.93x = 17,367,667.53
  5. Step 5: Solve for x
    x = 17,367,667.53/4,678.93
  6. Step 6: Final answer
    x = 3,711.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.