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Finding the Fourth Proportional to 5,038.04, 7,506.43 and 4,755.09

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Solution

The fourth proportional to 5,038.04, 7,506.43 and 4,755.09 is: 7,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.04 : 7,506.43 = 4,755.09 : x
  2. Step 2: Convert to fraction form
    5,038.04/7,506.43 = 4,755.09/x
  3. Step 3: Cross multiply
    5,038.04x = 7,506.43 × 4,755.09
  4. Step 4: Simplify right side
    5,038.04x = 35,693,766.49
  5. Step 5: Solve for x
    x = 35,693,766.49/5,038.04
  6. Step 6: Final answer
    x = 7,084.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.