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Finding the Fourth Proportional to 5,210.62, 7,190.64 and 2,852.74

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Solution

The fourth proportional to 5,210.62, 7,190.64 and 2,852.74 is: 3,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.62 : 7,190.64 = 2,852.74 : x
  2. Step 2: Convert to fraction form
    5,210.62/7,190.64 = 2,852.74/x
  3. Step 3: Cross multiply
    5,210.62x = 7,190.64 × 2,852.74
  4. Step 4: Simplify right side
    5,210.62x = 20,513,026.35
  5. Step 5: Solve for x
    x = 20,513,026.35/5,210.62
  6. Step 6: Final answer
    x = 3,936.77

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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.