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Finding the Fourth Proportional to 4,970.66, 7,456.92 and 2,047.38

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Solution

The fourth proportional to 4,970.66, 7,456.92 and 2,047.38 is: 3,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.66 : 7,456.92 = 2,047.38 : x
  2. Step 2: Convert to fraction form
    4,970.66/7,456.92 = 2,047.38/x
  3. Step 3: Cross multiply
    4,970.66x = 7,456.92 × 2,047.38
  4. Step 4: Simplify right side
    4,970.66x = 15,267,148.87
  5. Step 5: Solve for x
    x = 15,267,148.87/4,970.66
  6. Step 6: Final answer
    x = 3,071.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.