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Finding the Fourth Proportional to 5,339.80, 8,009.70 and 4,706.20

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Solution

The fourth proportional to 5,339.80, 8,009.70 and 4,706.20 is: 7,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.80 : 8,009.70 = 4,706.20 : x
  2. Step 2: Convert to fraction form
    5,339.80/8,009.70 = 4,706.20/x
  3. Step 3: Cross multiply
    5,339.80x = 8,009.70 × 4,706.20
  4. Step 4: Simplify right side
    5,339.80x = 37,695,250.14
  5. Step 5: Solve for x
    x = 37,695,250.14/5,339.80
  6. Step 6: Final answer
    x = 7,059.30

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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.