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Finding the Fourth Proportional to 5,070.82, 6,999.87 and 3,082

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Solution

The fourth proportional to 5,070.82, 6,999.87 and 3,082 is: 4,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.82 : 6,999.87 = 3,082 : x
  2. Step 2: Convert to fraction form
    5,070.82/6,999.87 = 3,082/x
  3. Step 3: Cross multiply
    5,070.82x = 6,999.87 × 3,082
  4. Step 4: Simplify right side
    5,070.82x = 21,573,599.34
  5. Step 5: Solve for x
    x = 21,573,599.34/5,070.82
  6. Step 6: Final answer
    x = 4,254.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.