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Finding the Fourth Proportional to 4,887.64, 6,743.90 and 2,898.84

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Solution

The fourth proportional to 4,887.64, 6,743.90 and 2,898.84 is: 3,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.64 : 6,743.90 = 2,898.84 : x
  2. Step 2: Convert to fraction form
    4,887.64/6,743.90 = 2,898.84/x
  3. Step 3: Cross multiply
    4,887.64x = 6,743.90 × 2,898.84
  4. Step 4: Simplify right side
    4,887.64x = 19,549,487.08
  5. Step 5: Solve for x
    x = 19,549,487.08/4,887.64
  6. Step 6: Final answer
    x = 3,999.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.