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Finding the Fourth Proportional to 5,853.48, 8,778.84 and 2,889

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Solution

The fourth proportional to 5,853.48, 8,778.84 and 2,889 is: 4,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.48 : 8,778.84 = 2,889 : x
  2. Step 2: Convert to fraction form
    5,853.48/8,778.84 = 2,889/x
  3. Step 3: Cross multiply
    5,853.48x = 8,778.84 × 2,889
  4. Step 4: Simplify right side
    5,853.48x = 25,362,068.76
  5. Step 5: Solve for x
    x = 25,362,068.76/5,853.48
  6. Step 6: Final answer
    x = 4,332.82

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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.