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Finding the Fourth Proportional to 5,641.65, 8,465.72 and 4,405.59

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Solution

The fourth proportional to 5,641.65, 8,465.72 and 4,405.59 is: 6,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.65 : 8,465.72 = 4,405.59 : x
  2. Step 2: Convert to fraction form
    5,641.65/8,465.72 = 4,405.59/x
  3. Step 3: Cross multiply
    5,641.65x = 8,465.72 × 4,405.59
  4. Step 4: Simplify right side
    5,641.65x = 37,296,469.35
  5. Step 5: Solve for x
    x = 37,296,469.35/5,641.65
  6. Step 6: Final answer
    x = 6,610.92

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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.