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Finding the Fourth Proportional to 5,670.19, 7,823.71 and 3,311.87

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Solution

The fourth proportional to 5,670.19, 7,823.71 and 3,311.87 is: 4,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.19 : 7,823.71 = 3,311.87 : x
  2. Step 2: Convert to fraction form
    5,670.19/7,823.71 = 3,311.87/x
  3. Step 3: Cross multiply
    5,670.19x = 7,823.71 × 3,311.87
  4. Step 4: Simplify right side
    5,670.19x = 25,911,128.78
  5. Step 5: Solve for x
    x = 25,911,128.78/5,670.19
  6. Step 6: Final answer
    x = 4,569.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.