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Finding the Fourth Proportional to 4,970.84, 6,847.51 and 4,260.41

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Solution

The fourth proportional to 4,970.84, 6,847.51 and 4,260.41 is: 5,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.84 : 6,847.51 = 4,260.41 : x
  2. Step 2: Convert to fraction form
    4,970.84/6,847.51 = 4,260.41/x
  3. Step 3: Cross multiply
    4,970.84x = 6,847.51 × 4,260.41
  4. Step 4: Simplify right side
    4,970.84x = 29,173,144.54
  5. Step 5: Solve for x
    x = 29,173,144.54/4,970.84
  6. Step 6: Final answer
    x = 5,868.86

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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.