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Finding the Fourth Proportional to 3,688.90, 5,094.81 and 2,859.63

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Solution

The fourth proportional to 3,688.90, 5,094.81 and 2,859.63 is: 3,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.90 : 5,094.81 = 2,859.63 : x
  2. Step 2: Convert to fraction form
    3,688.90/5,094.81 = 2,859.63/x
  3. Step 3: Cross multiply
    3,688.90x = 5,094.81 × 2,859.63
  4. Step 4: Simplify right side
    3,688.90x = 14,569,271.52
  5. Step 5: Solve for x
    x = 14,569,271.52/3,688.90
  6. Step 6: Final answer
    x = 3,949.49

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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.