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Finding the Fourth Proportional to 4,382.06, 6,047 and 2,392.22

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Solution

The fourth proportional to 4,382.06, 6,047 and 2,392.22 is: 3,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.06 : 6,047 = 2,392.22 : x
  2. Step 2: Convert to fraction form
    4,382.06/6,047 = 2,392.22/x
  3. Step 3: Cross multiply
    4,382.06x = 6,047 × 2,392.22
  4. Step 4: Simplify right side
    4,382.06x = 14,465,754.34
  5. Step 5: Solve for x
    x = 14,465,754.34/4,382.06
  6. Step 6: Final answer
    x = 3,301.13

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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.