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Finding the Fourth Proportional to 5,798.94, 8,002.56 and 3,146.40

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Solution

The fourth proportional to 5,798.94, 8,002.56 and 3,146.40 is: 4,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.94 : 8,002.56 = 3,146.40 : x
  2. Step 2: Convert to fraction form
    5,798.94/8,002.56 = 3,146.40/x
  3. Step 3: Cross multiply
    5,798.94x = 8,002.56 × 3,146.40
  4. Step 4: Simplify right side
    5,798.94x = 25,179,254.78
  5. Step 5: Solve for x
    x = 25,179,254.78/5,798.94
  6. Step 6: Final answer
    x = 4,342.04

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1.5x scale

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.