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Finding the Fourth Proportional to 5,038.38, 6,957.16 and 4,203.46

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Solution

The fourth proportional to 5,038.38, 6,957.16 and 4,203.46 is: 5,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.38 : 6,957.16 = 4,203.46 : x
  2. Step 2: Convert to fraction form
    5,038.38/6,957.16 = 4,203.46/x
  3. Step 3: Cross multiply
    5,038.38x = 6,957.16 × 4,203.46
  4. Step 4: Simplify right side
    5,038.38x = 29,244,135.08
  5. Step 5: Solve for x
    x = 29,244,135.08/5,038.38
  6. Step 6: Final answer
    x = 5,804.27

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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.