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Finding the Fourth Proportional to 5,798.64, 8,002.12 and 3,146.02

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Solution

The fourth proportional to 5,798.64, 8,002.12 and 3,146.02 is: 4,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.64 : 8,002.12 = 3,146.02 : x
  2. Step 2: Convert to fraction form
    5,798.64/8,002.12 = 3,146.02/x
  3. Step 3: Cross multiply
    5,798.64x = 8,002.12 × 3,146.02
  4. Step 4: Simplify right side
    5,798.64x = 25,174,829.56
  5. Step 5: Solve for x
    x = 25,174,829.56/5,798.64
  6. Step 6: Final answer
    x = 4,341.51

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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.