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Finding the Fourth Proportional to 4,596.64, 6,893.68 and 1,860

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Solution

The fourth proportional to 4,596.64, 6,893.68 and 1,860 is: 2,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.64 : 6,893.68 = 1,860 : x
  2. Step 2: Convert to fraction form
    4,596.64/6,893.68 = 1,860/x
  3. Step 3: Cross multiply
    4,596.64x = 6,893.68 × 1,860
  4. Step 4: Simplify right side
    4,596.64x = 12,822,244.80
  5. Step 5: Solve for x
    x = 12,822,244.80/4,596.64
  6. Step 6: Final answer
    x = 2,789.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.