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Finding the Fourth Proportional to 5,097.42, 7,652.28 and 3,019.77

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Solution

The fourth proportional to 5,097.42, 7,652.28 and 3,019.77 is: 4,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.42 : 7,652.28 = 3,019.77 : x
  2. Step 2: Convert to fraction form
    5,097.42/7,652.28 = 3,019.77/x
  3. Step 3: Cross multiply
    5,097.42x = 7,652.28 × 3,019.77
  4. Step 4: Simplify right side
    5,097.42x = 23,108,111.28
  5. Step 5: Solve for x
    x = 23,108,111.28/5,097.42
  6. Step 6: Final answer
    x = 4,533.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.