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Finding the Fourth Proportional to 5,200.40, 7,798.53 and 3,010.67

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Solution

The fourth proportional to 5,200.40, 7,798.53 and 3,010.67 is: 4,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.40 : 7,798.53 = 3,010.67 : x
  2. Step 2: Convert to fraction form
    5,200.40/7,798.53 = 3,010.67/x
  3. Step 3: Cross multiply
    5,200.40x = 7,798.53 × 3,010.67
  4. Step 4: Simplify right side
    5,200.40x = 23,478,800.32
  5. Step 5: Solve for x
    x = 23,478,800.32/5,200.40
  6. Step 6: Final answer
    x = 4,514.81

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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.