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Finding the Fourth Proportional to 5,970.61, 8,949.48 and 3,779.95

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Solution

The fourth proportional to 5,970.61, 8,949.48 and 3,779.95 is: 5,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.61 : 8,949.48 = 3,779.95 : x
  2. Step 2: Convert to fraction form
    5,970.61/8,949.48 = 3,779.95/x
  3. Step 3: Cross multiply
    5,970.61x = 8,949.48 × 3,779.95
  4. Step 4: Simplify right side
    5,970.61x = 33,828,586.93
  5. Step 5: Solve for x
    x = 33,828,586.93/5,970.61
  6. Step 6: Final answer
    x = 5,665.85

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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.