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Finding the Fourth Proportional to 4,557.76, 6,289.14 and 2,568.31

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Solution

The fourth proportional to 4,557.76, 6,289.14 and 2,568.31 is: 3,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.76 : 6,289.14 = 2,568.31 : x
  2. Step 2: Convert to fraction form
    4,557.76/6,289.14 = 2,568.31/x
  3. Step 3: Cross multiply
    4,557.76x = 6,289.14 × 2,568.31
  4. Step 4: Simplify right side
    4,557.76x = 16,152,461.15
  5. Step 5: Solve for x
    x = 16,152,461.15/4,557.76
  6. Step 6: Final answer
    x = 3,543.95

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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.