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Finding the Fourth Proportional to 3,779.32, 5,670.21 and 1,588.66

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Solution

The fourth proportional to 3,779.32, 5,670.21 and 1,588.66 is: 2,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.32 : 5,670.21 = 1,588.66 : x
  2. Step 2: Convert to fraction form
    3,779.32/5,670.21 = 1,588.66/x
  3. Step 3: Cross multiply
    3,779.32x = 5,670.21 × 1,588.66
  4. Step 4: Simplify right side
    3,779.32x = 9,008,035.82
  5. Step 5: Solve for x
    x = 9,008,035.82/3,779.32
  6. Step 6: Final answer
    x = 2,383.51

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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.