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Finding the Fourth Proportional to 3,656.43, 5,483.70 and 1,058.76

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Solution

The fourth proportional to 3,656.43, 5,483.70 and 1,058.76 is: 1,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.43 : 5,483.70 = 1,058.76 : x
  2. Step 2: Convert to fraction form
    3,656.43/5,483.70 = 1,058.76/x
  3. Step 3: Cross multiply
    3,656.43x = 5,483.70 × 1,058.76
  4. Step 4: Simplify right side
    3,656.43x = 5,805,922.21
  5. Step 5: Solve for x
    x = 5,805,922.21/3,656.43
  6. Step 6: Final answer
    x = 1,587.87

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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.