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Finding the Fourth Proportional to 5,435.04, 7,500.29 and 3,077.17

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Solution

The fourth proportional to 5,435.04, 7,500.29 and 3,077.17 is: 4,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.04 : 7,500.29 = 3,077.17 : x
  2. Step 2: Convert to fraction form
    5,435.04/7,500.29 = 3,077.17/x
  3. Step 3: Cross multiply
    5,435.04x = 7,500.29 × 3,077.17
  4. Step 4: Simplify right side
    5,435.04x = 23,079,667.38
  5. Step 5: Solve for x
    x = 23,079,667.38/5,435.04
  6. Step 6: Final answer
    x = 4,246.46

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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.