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Finding the Fourth Proportional to 5,902.48, 8,852.73 and 1,742.41

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Solution

The fourth proportional to 5,902.48, 8,852.73 and 1,742.41 is: 2,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.48 : 8,852.73 = 1,742.41 : x
  2. Step 2: Convert to fraction form
    5,902.48/8,852.73 = 1,742.41/x
  3. Step 3: Cross multiply
    5,902.48x = 8,852.73 × 1,742.41
  4. Step 4: Simplify right side
    5,902.48x = 15,425,085.28
  5. Step 5: Solve for x
    x = 15,425,085.28/5,902.48
  6. Step 6: Final answer
    x = 2,613.32

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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.