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Finding the Fourth Proportional to 5,152.95, 7,110.32 and 3,028.32

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Solution

The fourth proportional to 5,152.95, 7,110.32 and 3,028.32 is: 4,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.95 : 7,110.32 = 3,028.32 : x
  2. Step 2: Convert to fraction form
    5,152.95/7,110.32 = 3,028.32/x
  3. Step 3: Cross multiply
    5,152.95x = 7,110.32 × 3,028.32
  4. Step 4: Simplify right side
    5,152.95x = 21,532,309.12
  5. Step 5: Solve for x
    x = 21,532,309.12/5,152.95
  6. Step 6: Final answer
    x = 4,178.64

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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.