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Finding the Fourth Proportional to 5,798.48, 8,001.86 and 3,145.91

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Solution

The fourth proportional to 5,798.48, 8,001.86 and 3,145.91 is: 4,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.48 : 8,001.86 = 3,145.91 : x
  2. Step 2: Convert to fraction form
    5,798.48/8,001.86 = 3,145.91/x
  3. Step 3: Cross multiply
    5,798.48x = 8,001.86 × 3,145.91
  4. Step 4: Simplify right side
    5,798.48x = 25,173,075.65
  5. Step 5: Solve for x
    x = 25,173,075.65/5,798.48
  6. Step 6: Final answer
    x = 4,341.33

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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.