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Finding the Fourth Proportional to 3,490.52, 4,818.36 and 2,093

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Solution

The fourth proportional to 3,490.52, 4,818.36 and 2,093 is: 2,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.52 : 4,818.36 = 2,093 : x
  2. Step 2: Convert to fraction form
    3,490.52/4,818.36 = 2,093/x
  3. Step 3: Cross multiply
    3,490.52x = 4,818.36 × 2,093
  4. Step 4: Simplify right side
    3,490.52x = 10,084,827.48
  5. Step 5: Solve for x
    x = 10,084,827.48/3,490.52
  6. Step 6: Final answer
    x = 2,889.20

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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.