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Finding the Fourth Proportional to 5,095, 7,028.22 and 2,970.28

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Solution

The fourth proportional to 5,095, 7,028.22 and 2,970.28 is: 4,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095 : 7,028.22 = 2,970.28 : x
  2. Step 2: Convert to fraction form
    5,095/7,028.22 = 2,970.28/x
  3. Step 3: Cross multiply
    5,095x = 7,028.22 × 2,970.28
  4. Step 4: Simplify right side
    5,095x = 20,875,781.30
  5. Step 5: Solve for x
    x = 20,875,781.30/5,095
  6. Step 6: Final answer
    x = 4,097.31

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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.