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Finding the Fourth Proportional to 3,765.03, 5,646.52 and 1,573.30

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Solution

The fourth proportional to 3,765.03, 5,646.52 and 1,573.30 is: 2,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.03 : 5,646.52 = 1,573.30 : x
  2. Step 2: Convert to fraction form
    3,765.03/5,646.52 = 1,573.30/x
  3. Step 3: Cross multiply
    3,765.03x = 5,646.52 × 1,573.30
  4. Step 4: Simplify right side
    3,765.03x = 8,883,669.92
  5. Step 5: Solve for x
    x = 8,883,669.92/3,765.03
  6. Step 6: Final answer
    x = 2,359.52

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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.