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Finding the Fourth Proportional to 5,317.11, 7,970.50 and 2,978.23

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Solution

The fourth proportional to 5,317.11, 7,970.50 and 2,978.23 is: 4,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.11 : 7,970.50 = 2,978.23 : x
  2. Step 2: Convert to fraction form
    5,317.11/7,970.50 = 2,978.23/x
  3. Step 3: Cross multiply
    5,317.11x = 7,970.50 × 2,978.23
  4. Step 4: Simplify right side
    5,317.11x = 23,737,982.22
  5. Step 5: Solve for x
    x = 23,737,982.22/5,317.11
  6. Step 6: Final answer
    x = 4,464.45

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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.