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Finding the Fourth Proportional to 5,004, 6,907.14 and 3,141

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Solution

The fourth proportional to 5,004, 6,907.14 and 3,141 is: 4,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004 : 6,907.14 = 3,141 : x
  2. Step 2: Convert to fraction form
    5,004/6,907.14 = 3,141/x
  3. Step 3: Cross multiply
    5,004x = 6,907.14 × 3,141
  4. Step 4: Simplify right side
    5,004x = 21,695,326.74
  5. Step 5: Solve for x
    x = 21,695,326.74/5,004
  6. Step 6: Final answer
    x = 4,335.60

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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.