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Finding the Fourth Proportional to 5,270.94, 7,900.74 and 2,345.22

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Solution

The fourth proportional to 5,270.94, 7,900.74 and 2,345.22 is: 3,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.94 : 7,900.74 = 2,345.22 : x
  2. Step 2: Convert to fraction form
    5,270.94/7,900.74 = 2,345.22/x
  3. Step 3: Cross multiply
    5,270.94x = 7,900.74 × 2,345.22
  4. Step 4: Simplify right side
    5,270.94x = 18,528,973.46
  5. Step 5: Solve for x
    x = 18,528,973.46/5,270.94
  6. Step 6: Final answer
    x = 3,515.31

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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.