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Finding the Fourth Proportional to 5,831.95, 8,046.65 and 3,562.70

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Solution

The fourth proportional to 5,831.95, 8,046.65 and 3,562.70 is: 4,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.95 : 8,046.65 = 3,562.70 : x
  2. Step 2: Convert to fraction form
    5,831.95/8,046.65 = 3,562.70/x
  3. Step 3: Cross multiply
    5,831.95x = 8,046.65 × 3,562.70
  4. Step 4: Simplify right side
    5,831.95x = 28,667,782.14
  5. Step 5: Solve for x
    x = 28,667,782.14/5,831.95
  6. Step 6: Final answer
    x = 4,915.65

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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.