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Finding the Fourth Proportional to 5,200.65, 7,800.98 and 5,200.65

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Solution

The fourth proportional to 5,200.65, 7,800.98 and 5,200.65 is: 7,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.65 : 7,800.98 = 5,200.65 : x
  2. Step 2: Convert to fraction form
    5,200.65/7,800.98 = 5,200.65/x
  3. Step 3: Cross multiply
    5,200.65x = 7,800.98 × 5,200.65
  4. Step 4: Simplify right side
    5,200.65x = 40,570,140.63
  5. Step 5: Solve for x
    x = 40,570,140.63/5,200.65
  6. Step 6: Final answer
    x = 7,800.98

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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.