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Finding the Fourth Proportional to 5,210.70, 7,190.94 and 2,852.84

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Solution

The fourth proportional to 5,210.70, 7,190.94 and 2,852.84 is: 3,937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.70 : 7,190.94 = 2,852.84 : x
  2. Step 2: Convert to fraction form
    5,210.70/7,190.94 = 2,852.84/x
  3. Step 3: Cross multiply
    5,210.70x = 7,190.94 × 2,852.84
  4. Step 4: Simplify right side
    5,210.70x = 20,514,565.31
  5. Step 5: Solve for x
    x = 20,514,565.31/5,210.70
  6. Step 6: Final answer
    x = 3,937.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.