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Finding the Fourth Proportional to 5,831.04, 8,043.84 and 4,064.16

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Solution

The fourth proportional to 5,831.04, 8,043.84 and 4,064.16 is: 5,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.04 : 8,043.84 = 4,064.16 : x
  2. Step 2: Convert to fraction form
    5,831.04/8,043.84 = 4,064.16/x
  3. Step 3: Cross multiply
    5,831.04x = 8,043.84 × 4,064.16
  4. Step 4: Simplify right side
    5,831.04x = 32,691,452.77
  5. Step 5: Solve for x
    x = 32,691,452.77/5,831.04
  6. Step 6: Final answer
    x = 5,606.45

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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.