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Finding the Fourth Proportional to 3,768.64, 5,655.54 and 2,303.32

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Solution

The fourth proportional to 3,768.64, 5,655.54 and 2,303.32 is: 3,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.64 : 5,655.54 = 2,303.32 : x
  2. Step 2: Convert to fraction form
    3,768.64/5,655.54 = 2,303.32/x
  3. Step 3: Cross multiply
    3,768.64x = 5,655.54 × 2,303.32
  4. Step 4: Simplify right side
    3,768.64x = 13,026,518.39
  5. Step 5: Solve for x
    x = 13,026,518.39/3,768.64
  6. Step 6: Final answer
    x = 3,456.56

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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.