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Finding the Fourth Proportional to 3,779.68, 5,663.74 and 1,587.21

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Solution

The fourth proportional to 3,779.68, 5,663.74 and 1,587.21 is: 2,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.68 : 5,663.74 = 1,587.21 : x
  2. Step 2: Convert to fraction form
    3,779.68/5,663.74 = 1,587.21/x
  3. Step 3: Cross multiply
    3,779.68x = 5,663.74 × 1,587.21
  4. Step 4: Simplify right side
    3,779.68x = 8,989,544.77
  5. Step 5: Solve for x
    x = 8,989,544.77/3,779.68
  6. Step 6: Final answer
    x = 2,378.39

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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.