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Finding the Fourth Proportional to 5,070.60, 6,998.69 and 3,082.49

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Solution

The fourth proportional to 5,070.60, 6,998.69 and 3,082.49 is: 4,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.60 : 6,998.69 = 3,082.49 : x
  2. Step 2: Convert to fraction form
    5,070.60/6,998.69 = 3,082.49/x
  3. Step 3: Cross multiply
    5,070.60x = 6,998.69 × 3,082.49
  4. Step 4: Simplify right side
    5,070.60x = 21,573,341.53
  5. Step 5: Solve for x
    x = 21,573,341.53/5,070.60
  6. Step 6: Final answer
    x = 4,254.59

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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.