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Finding the Fourth Proportional to 4,047.84, 6,071.82 and 1,126.11

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Solution

The fourth proportional to 4,047.84, 6,071.82 and 1,126.11 is: 1,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.84 : 6,071.82 = 1,126.11 : x
  2. Step 2: Convert to fraction form
    4,047.84/6,071.82 = 1,126.11/x
  3. Step 3: Cross multiply
    4,047.84x = 6,071.82 × 1,126.11
  4. Step 4: Simplify right side
    4,047.84x = 6,837,537.22
  5. Step 5: Solve for x
    x = 6,837,537.22/4,047.84
  6. Step 6: Final answer
    x = 1,689.18

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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.