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Finding the Fourth Proportional to 5,071.06, 7,605.42 and 2,295.87

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Solution

The fourth proportional to 5,071.06, 7,605.42 and 2,295.87 is: 3,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.06 : 7,605.42 = 2,295.87 : x
  2. Step 2: Convert to fraction form
    5,071.06/7,605.42 = 2,295.87/x
  3. Step 3: Cross multiply
    5,071.06x = 7,605.42 × 2,295.87
  4. Step 4: Simplify right side
    5,071.06x = 17,461,055.62
  5. Step 5: Solve for x
    x = 17,461,055.62/5,071.06
  6. Step 6: Final answer
    x = 3,443.28

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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.