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Finding the Fourth Proportional to 4,382.51, 6,047.10 and 4,160.88

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Solution

The fourth proportional to 4,382.51, 6,047.10 and 4,160.88 is: 5,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.51 : 6,047.10 = 4,160.88 : x
  2. Step 2: Convert to fraction form
    4,382.51/6,047.10 = 4,160.88/x
  3. Step 3: Cross multiply
    4,382.51x = 6,047.10 × 4,160.88
  4. Step 4: Simplify right side
    4,382.51x = 25,161,257.45
  5. Step 5: Solve for x
    x = 25,161,257.45/4,382.51
  6. Step 6: Final answer
    x = 5,741.30

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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.