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Finding the Fourth Proportional to 4,071.46, 5,619.02 and 2,478.22

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Solution

The fourth proportional to 4,071.46, 5,619.02 and 2,478.22 is: 3,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.46 : 5,619.02 = 2,478.22 : x
  2. Step 2: Convert to fraction form
    4,071.46/5,619.02 = 2,478.22/x
  3. Step 3: Cross multiply
    4,071.46x = 5,619.02 × 2,478.22
  4. Step 4: Simplify right side
    4,071.46x = 13,925,167.74
  5. Step 5: Solve for x
    x = 13,925,167.74/4,071.46
  6. Step 6: Final answer
    x = 3,420.19

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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.