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Finding the Fourth Proportional to 4,970.70, 6,855.57 and 4,371.90

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Solution

The fourth proportional to 4,970.70, 6,855.57 and 4,371.90 is: 6,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.70 : 6,855.57 = 4,371.90 : x
  2. Step 2: Convert to fraction form
    4,970.70/6,855.57 = 4,371.90/x
  3. Step 3: Cross multiply
    4,970.70x = 6,855.57 × 4,371.90
  4. Step 4: Simplify right side
    4,970.70x = 29,971,866.48
  5. Step 5: Solve for x
    x = 29,971,866.48/4,970.70
  6. Step 6: Final answer
    x = 6,029.71

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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.