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Finding the Fourth Proportional to 5,200.04, 7,798.80 and 2,079.08

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Solution

The fourth proportional to 5,200.04, 7,798.80 and 2,079.08 is: 3,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.04 : 7,798.80 = 2,079.08 : x
  2. Step 2: Convert to fraction form
    5,200.04/7,798.80 = 2,079.08/x
  3. Step 3: Cross multiply
    5,200.04x = 7,798.80 × 2,079.08
  4. Step 4: Simplify right side
    5,200.04x = 16,214,329.10
  5. Step 5: Solve for x
    x = 16,214,329.10/5,200.04
  6. Step 6: Final answer
    x = 3,118.12

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1.5x scale

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.