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Finding the Fourth Proportional to 6,136.48, 9,191.92 and 2,852.40

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Solution

The fourth proportional to 6,136.48, 9,191.92 and 2,852.40 is: 4,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.48 : 9,191.92 = 2,852.40 : x
  2. Step 2: Convert to fraction form
    6,136.48/9,191.92 = 2,852.40/x
  3. Step 3: Cross multiply
    6,136.48x = 9,191.92 × 2,852.40
  4. Step 4: Simplify right side
    6,136.48x = 26,219,032.61
  5. Step 5: Solve for x
    x = 26,219,032.61/6,136.48
  6. Step 6: Final answer
    x = 4,272.65

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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.