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Finding the Fourth Proportional to 5,798.22, 8,001.57 and 3,145.65

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Solution

The fourth proportional to 5,798.22, 8,001.57 and 3,145.65 is: 4,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.22 : 8,001.57 = 3,145.65 : x
  2. Step 2: Convert to fraction form
    5,798.22/8,001.57 = 3,145.65/x
  3. Step 3: Cross multiply
    5,798.22x = 8,001.57 × 3,145.65
  4. Step 4: Simplify right side
    5,798.22x = 25,170,138.67
  5. Step 5: Solve for x
    x = 25,170,138.67/5,798.22
  6. Step 6: Final answer
    x = 4,341.01

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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.