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Finding the Fourth Proportional to 5,798.00, 8,001.38 and 3,440.16

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Solution

The fourth proportional to 5,798.00, 8,001.38 and 3,440.16 is: 4,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.00 : 8,001.38 = 3,440.16 : x
  2. Step 2: Convert to fraction form
    5,798.00/8,001.38 = 3,440.16/x
  3. Step 3: Cross multiply
    5,798.00x = 8,001.38 × 3,440.16
  4. Step 4: Simplify right side
    5,798.00x = 27,526,036.02
  5. Step 5: Solve for x
    x = 27,526,036.02/5,798.00
  6. Step 6: Final answer
    x = 4,747.50

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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.