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Finding the Fourth Proportional to 3,365.64, 5,048.64 and 1,057.32

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Solution

The fourth proportional to 3,365.64, 5,048.64 and 1,057.32 is: 1,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.64 : 5,048.64 = 1,057.32 : x
  2. Step 2: Convert to fraction form
    3,365.64/5,048.64 = 1,057.32/x
  3. Step 3: Cross multiply
    3,365.64x = 5,048.64 × 1,057.32
  4. Step 4: Simplify right side
    3,365.64x = 5,338,028.04
  5. Step 5: Solve for x
    x = 5,338,028.04/3,365.64
  6. Step 6: Final answer
    x = 1,586.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.