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Finding the Fourth Proportional to 4,711.95, 7,058.34 and 3,782.48

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Solution

The fourth proportional to 4,711.95, 7,058.34 and 3,782.48 is: 5,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.95 : 7,058.34 = 3,782.48 : x
  2. Step 2: Convert to fraction form
    4,711.95/7,058.34 = 3,782.48/x
  3. Step 3: Cross multiply
    4,711.95x = 7,058.34 × 3,782.48
  4. Step 4: Simplify right side
    4,711.95x = 26,697,994.59
  5. Step 5: Solve for x
    x = 26,697,994.59/4,711.95
  6. Step 6: Final answer
    x = 5,666.02

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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.