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Finding the Fourth Proportional to 5,102.30, 7,041.24 and 3,006.42

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Solution

The fourth proportional to 5,102.30, 7,041.24 and 3,006.42 is: 4,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.30 : 7,041.24 = 3,006.42 : x
  2. Step 2: Convert to fraction form
    5,102.30/7,041.24 = 3,006.42/x
  3. Step 3: Cross multiply
    5,102.30x = 7,041.24 × 3,006.42
  4. Step 4: Simplify right side
    5,102.30x = 21,168,924.76
  5. Step 5: Solve for x
    x = 21,168,924.76/5,102.30
  6. Step 6: Final answer
    x = 4,148.90

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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.