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Finding the Fourth Proportional to 4,407.48, 6,611.34 and 1,287.84

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Solution

The fourth proportional to 4,407.48, 6,611.34 and 1,287.84 is: 1,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.48 : 6,611.34 = 1,287.84 : x
  2. Step 2: Convert to fraction form
    4,407.48/6,611.34 = 1,287.84/x
  3. Step 3: Cross multiply
    4,407.48x = 6,611.34 × 1,287.84
  4. Step 4: Simplify right side
    4,407.48x = 8,514,348.11
  5. Step 5: Solve for x
    x = 8,514,348.11/4,407.48
  6. Step 6: Final answer
    x = 1,931.80

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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.