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Finding the Fourth Proportional to 5,835.21, 8,726.20 and 4,355.47

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Solution

The fourth proportional to 5,835.21, 8,726.20 and 4,355.47 is: 6,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.21 : 8,726.20 = 4,355.47 : x
  2. Step 2: Convert to fraction form
    5,835.21/8,726.20 = 4,355.47/x
  3. Step 3: Cross multiply
    5,835.21x = 8,726.20 × 4,355.47
  4. Step 4: Simplify right side
    5,835.21x = 38,006,702.31
  5. Step 5: Solve for x
    x = 38,006,702.31/5,835.21
  6. Step 6: Final answer
    x = 6,513.34

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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.