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Finding the Fourth Proportional to 4,557.70, 6,289.76 and 2,568.15

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Solution

The fourth proportional to 4,557.70, 6,289.76 and 2,568.15 is: 3,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.70 : 6,289.76 = 2,568.15 : x
  2. Step 2: Convert to fraction form
    4,557.70/6,289.76 = 2,568.15/x
  3. Step 3: Cross multiply
    4,557.70x = 6,289.76 × 2,568.15
  4. Step 4: Simplify right side
    4,557.70x = 16,153,047.14
  5. Step 5: Solve for x
    x = 16,153,047.14/4,557.70
  6. Step 6: Final answer
    x = 3,544.12

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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.