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Finding the Fourth Proportional to 3,779.66, 5,669.61 and 1,699.67

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Solution

The fourth proportional to 3,779.66, 5,669.61 and 1,699.67 is: 2,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.66 : 5,669.61 = 1,699.67 : x
  2. Step 2: Convert to fraction form
    3,779.66/5,669.61 = 1,699.67/x
  3. Step 3: Cross multiply
    3,779.66x = 5,669.61 × 1,699.67
  4. Step 4: Simplify right side
    3,779.66x = 9,636,465.32
  5. Step 5: Solve for x
    x = 9,636,465.32/3,779.66
  6. Step 6: Final answer
    x = 2,549.56

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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.