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Finding the Fourth Proportional to 5,484.57, 7,568.68 and 2,966.67

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Solution

The fourth proportional to 5,484.57, 7,568.68 and 2,966.67 is: 4,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.57 : 7,568.68 = 2,966.67 : x
  2. Step 2: Convert to fraction form
    5,484.57/7,568.68 = 2,966.67/x
  3. Step 3: Cross multiply
    5,484.57x = 7,568.68 × 2,966.67
  4. Step 4: Simplify right side
    5,484.57x = 22,453,802.42
  5. Step 5: Solve for x
    x = 22,453,802.42/5,484.57
  6. Step 6: Final answer
    x = 4,093.99

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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.