Home / 5,200.32-7,762.80-4,814.94

Finding the Fourth Proportional to 5,200.32, 7,762.80 and 4,814.94

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Solution

The fourth proportional to 5,200.32, 7,762.80 and 4,814.94 is: 7,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.32 : 7,762.80 = 4,814.94 : x
  2. Step 2: Convert to fraction form
    5,200.32/7,762.80 = 4,814.94/x
  3. Step 3: Cross multiply
    5,200.32x = 7,762.80 × 4,814.94
  4. Step 4: Simplify right side
    5,200.32x = 37,377,416.23
  5. Step 5: Solve for x
    x = 37,377,416.23/5,200.32
  6. Step 6: Final answer
    x = 7,187.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.