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Finding the Fourth Proportional to 3,411.76, 5,135.65 and 2,910.64

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Solution

The fourth proportional to 3,411.76, 5,135.65 and 2,910.64 is: 4,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.76 : 5,135.65 = 2,910.64 : x
  2. Step 2: Convert to fraction form
    3,411.76/5,135.65 = 2,910.64/x
  3. Step 3: Cross multiply
    3,411.76x = 5,135.65 × 2,910.64
  4. Step 4: Simplify right side
    3,411.76x = 14,948,028.32
  5. Step 5: Solve for x
    x = 14,948,028.32/3,411.76
  6. Step 6: Final answer
    x = 4,381.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.