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Finding the Fourth Proportional to 3,707.89, 5,562.52 and 1,175.63

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Solution

The fourth proportional to 3,707.89, 5,562.52 and 1,175.63 is: 1,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.89 : 5,562.52 = 1,175.63 : x
  2. Step 2: Convert to fraction form
    3,707.89/5,562.52 = 1,175.63/x
  3. Step 3: Cross multiply
    3,707.89x = 5,562.52 × 1,175.63
  4. Step 4: Simplify right side
    3,707.89x = 6,539,434.64
  5. Step 5: Solve for x
    x = 6,539,434.64/3,707.89
  6. Step 6: Final answer
    x = 1,763.66

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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.