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Finding the Fourth Proportional to 5,827.77, 8,741.72 and 1,445.22

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Solution

The fourth proportional to 5,827.77, 8,741.72 and 1,445.22 is: 2,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.77 : 8,741.72 = 1,445.22 : x
  2. Step 2: Convert to fraction form
    5,827.77/8,741.72 = 1,445.22/x
  3. Step 3: Cross multiply
    5,827.77x = 8,741.72 × 1,445.22
  4. Step 4: Simplify right side
    5,827.77x = 12,633,701.35
  5. Step 5: Solve for x
    x = 12,633,701.35/5,827.77
  6. Step 6: Final answer
    x = 2,167.84

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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.