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Finding the Fourth Proportional to 5,898.64, 8,140.16 and 3,245.98

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Solution

The fourth proportional to 5,898.64, 8,140.16 and 3,245.98 is: 4,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.64 : 8,140.16 = 3,245.98 : x
  2. Step 2: Convert to fraction form
    5,898.64/8,140.16 = 3,245.98/x
  3. Step 3: Cross multiply
    5,898.64x = 8,140.16 × 3,245.98
  4. Step 4: Simplify right side
    5,898.64x = 26,422,739.63
  5. Step 5: Solve for x
    x = 26,422,739.63/5,898.64
  6. Step 6: Final answer
    x = 4,479.47

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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.