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Finding the Fourth Proportional to 4,970.47, 6,859.31 and 2,701.82

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Solution

The fourth proportional to 4,970.47, 6,859.31 and 2,701.82 is: 3,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.47 : 6,859.31 = 2,701.82 : x
  2. Step 2: Convert to fraction form
    4,970.47/6,859.31 = 2,701.82/x
  3. Step 3: Cross multiply
    4,970.47x = 6,859.31 × 2,701.82
  4. Step 4: Simplify right side
    4,970.47x = 18,532,573.14
  5. Step 5: Solve for x
    x = 18,532,573.14/4,970.47
  6. Step 6: Final answer
    x = 3,728.54

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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.