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Finding the Fourth Proportional to 3,779.62, 5,669.24 and 1,585.74

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Solution

The fourth proportional to 3,779.62, 5,669.24 and 1,585.74 is: 2,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.62 : 5,669.24 = 1,585.74 : x
  2. Step 2: Convert to fraction form
    3,779.62/5,669.24 = 1,585.74/x
  3. Step 3: Cross multiply
    3,779.62x = 5,669.24 × 1,585.74
  4. Step 4: Simplify right side
    3,779.62x = 8,989,940.64
  5. Step 5: Solve for x
    x = 8,989,940.64/3,779.62
  6. Step 6: Final answer
    x = 2,378.53

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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.