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Finding the Fourth Proportional to 3,766.14, 5,649.48 and 1,575

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Solution

The fourth proportional to 3,766.14, 5,649.48 and 1,575 is: 2,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.14 : 5,649.48 = 1,575 : x
  2. Step 2: Convert to fraction form
    3,766.14/5,649.48 = 1,575/x
  3. Step 3: Cross multiply
    3,766.14x = 5,649.48 × 1,575
  4. Step 4: Simplify right side
    3,766.14x = 8,897,931
  5. Step 5: Solve for x
    x = 8,897,931/3,766.14
  6. Step 6: Final answer
    x = 2,362.61

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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.