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Finding the Fourth Proportional to 5,831.17, 8,052.04 and 5,000.11

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Solution

The fourth proportional to 5,831.17, 8,052.04 and 5,000.11 is: 6,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.17 : 8,052.04 = 5,000.11 : x
  2. Step 2: Convert to fraction form
    5,831.17/8,052.04 = 5,000.11/x
  3. Step 3: Cross multiply
    5,831.17x = 8,052.04 × 5,000.11
  4. Step 4: Simplify right side
    5,831.17x = 40,261,071.84
  5. Step 5: Solve for x
    x = 40,261,071.84/5,831.17
  6. Step 6: Final answer
    x = 6,904.46

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Why These Related Problems?

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