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Finding the Fourth Proportional to 6,598.90, 9,905.19 and 3,831.00

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Solution

The fourth proportional to 6,598.90, 9,905.19 and 3,831.00 is: 5,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.90 : 9,905.19 = 3,831.00 : x
  2. Step 2: Convert to fraction form
    6,598.90/9,905.19 = 3,831.00/x
  3. Step 3: Cross multiply
    6,598.90x = 9,905.19 × 3,831.00
  4. Step 4: Simplify right side
    6,598.90x = 37,946,731.38
  5. Step 5: Solve for x
    x = 37,946,731.38/6,598.90
  6. Step 6: Final answer
    x = 5,750.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.