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Finding the Fourth Proportional to 3,435.25, 4,740.57 and 2,256.25

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Solution

The fourth proportional to 3,435.25, 4,740.57 and 2,256.25 is: 3,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.25 : 4,740.57 = 2,256.25 : x
  2. Step 2: Convert to fraction form
    3,435.25/4,740.57 = 2,256.25/x
  3. Step 3: Cross multiply
    3,435.25x = 4,740.57 × 2,256.25
  4. Step 4: Simplify right side
    3,435.25x = 10,695,911.06
  5. Step 5: Solve for x
    x = 10,695,911.06/3,435.25
  6. Step 6: Final answer
    x = 3,113.58

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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.