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Finding the Fourth Proportional to 5,798.28, 8,699.58 and 3,491.40

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Solution

The fourth proportional to 5,798.28, 8,699.58 and 3,491.40 is: 5,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.28 : 8,699.58 = 3,491.40 : x
  2. Step 2: Convert to fraction form
    5,798.28/8,699.58 = 3,491.40/x
  3. Step 3: Cross multiply
    5,798.28x = 8,699.58 × 3,491.40
  4. Step 4: Simplify right side
    5,798.28x = 30,373,713.61
  5. Step 5: Solve for x
    x = 30,373,713.61/5,798.28
  6. Step 6: Final answer
    x = 5,238.40

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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.