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Finding the Fourth Proportional to 5,641.83, 8,457.22 and 2,355.86

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Solution

The fourth proportional to 5,641.83, 8,457.22 and 2,355.86 is: 3,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.83 : 8,457.22 = 2,355.86 : x
  2. Step 2: Convert to fraction form
    5,641.83/8,457.22 = 2,355.86/x
  3. Step 3: Cross multiply
    5,641.83x = 8,457.22 × 2,355.86
  4. Step 4: Simplify right side
    5,641.83x = 19,924,050.40
  5. Step 5: Solve for x
    x = 19,924,050.40/5,641.83
  6. Step 6: Final answer
    x = 3,531.49

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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.