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Finding the Fourth Proportional to 3,506.76, 5,256.90 and 2,852.28

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Solution

The fourth proportional to 3,506.76, 5,256.90 and 2,852.28 is: 4,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.76 : 5,256.90 = 2,852.28 : x
  2. Step 2: Convert to fraction form
    3,506.76/5,256.90 = 2,852.28/x
  3. Step 3: Cross multiply
    3,506.76x = 5,256.90 × 2,852.28
  4. Step 4: Simplify right side
    3,506.76x = 14,994,150.73
  5. Step 5: Solve for x
    x = 14,994,150.73/3,506.76
  6. Step 6: Final answer
    x = 4,275.78

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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.