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Finding the Fourth Proportional to 5,898.58, 8,843.58 and 2,978.95

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Solution

The fourth proportional to 5,898.58, 8,843.58 and 2,978.95 is: 4,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.58 : 8,843.58 = 2,978.95 : x
  2. Step 2: Convert to fraction form
    5,898.58/8,843.58 = 2,978.95/x
  3. Step 3: Cross multiply
    5,898.58x = 8,843.58 × 2,978.95
  4. Step 4: Simplify right side
    5,898.58x = 26,344,582.64
  5. Step 5: Solve for x
    x = 26,344,582.64/5,898.58
  6. Step 6: Final answer
    x = 4,466.26

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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.