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Finding the Fourth Proportional to 3,720.32, 5,575.68 and 2,053.32

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Solution

The fourth proportional to 3,720.32, 5,575.68 and 2,053.32 is: 3,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.32 : 5,575.68 = 2,053.32 : x
  2. Step 2: Convert to fraction form
    3,720.32/5,575.68 = 2,053.32/x
  3. Step 3: Cross multiply
    3,720.32x = 5,575.68 × 2,053.32
  4. Step 4: Simplify right side
    3,720.32x = 11,448,655.26
  5. Step 5: Solve for x
    x = 11,448,655.26/3,720.32
  6. Step 6: Final answer
    x = 3,077.33

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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.