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Finding the Fourth Proportional to 5,307, 7,950 and 4,058.76

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Solution

The fourth proportional to 5,307, 7,950 and 4,058.76 is: 6,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307 : 7,950 = 4,058.76 : x
  2. Step 2: Convert to fraction form
    5,307/7,950 = 4,058.76/x
  3. Step 3: Cross multiply
    5,307x = 7,950 × 4,058.76
  4. Step 4: Simplify right side
    5,307x = 32,267,142
  5. Step 5: Solve for x
    x = 32,267,142/5,307
  6. Step 6: Final answer
    x = 6,080.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.