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Finding the Fourth Proportional to 4,071.93, 5,619.15 and 2,303.46

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Solution

The fourth proportional to 4,071.93, 5,619.15 and 2,303.46 is: 3,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.93 : 5,619.15 = 2,303.46 : x
  2. Step 2: Convert to fraction form
    4,071.93/5,619.15 = 2,303.46/x
  3. Step 3: Cross multiply
    4,071.93x = 5,619.15 × 2,303.46
  4. Step 4: Simplify right side
    4,071.93x = 12,943,487.26
  5. Step 5: Solve for x
    x = 12,943,487.26/4,071.93
  6. Step 6: Final answer
    x = 3,178.71

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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.