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Finding the Fourth Proportional to 5,982.61, 8,256.45 and 3,465.40

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Solution

The fourth proportional to 5,982.61, 8,256.45 and 3,465.40 is: 4,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.61 : 8,256.45 = 3,465.40 : x
  2. Step 2: Convert to fraction form
    5,982.61/8,256.45 = 3,465.40/x
  3. Step 3: Cross multiply
    5,982.61x = 8,256.45 × 3,465.40
  4. Step 4: Simplify right side
    5,982.61x = 28,611,901.83
  5. Step 5: Solve for x
    x = 28,611,901.83/5,982.61
  6. Step 6: Final answer
    x = 4,782.51

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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.