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Finding the Fourth Proportional to 5,210.94, 7,799.63 and 3,433.47

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Solution

The fourth proportional to 5,210.94, 7,799.63 and 3,433.47 is: 5,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.94 : 7,799.63 = 3,433.47 : x
  2. Step 2: Convert to fraction form
    5,210.94/7,799.63 = 3,433.47/x
  3. Step 3: Cross multiply
    5,210.94x = 7,799.63 × 3,433.47
  4. Step 4: Simplify right side
    5,210.94x = 26,779,739.45
  5. Step 5: Solve for x
    x = 26,779,739.45/5,210.94
  6. Step 6: Final answer
    x = 5,139.14

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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.