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Finding the Fourth Proportional to 5,049.19, 7,574.03 and 1,929.46

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Solution

The fourth proportional to 5,049.19, 7,574.03 and 1,929.46 is: 2,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.19 : 7,574.03 = 1,929.46 : x
  2. Step 2: Convert to fraction form
    5,049.19/7,574.03 = 1,929.46/x
  3. Step 3: Cross multiply
    5,049.19x = 7,574.03 × 1,929.46
  4. Step 4: Simplify right side
    5,049.19x = 14,613,787.92
  5. Step 5: Solve for x
    x = 14,613,787.92/5,049.19
  6. Step 6: Final answer
    x = 2,894.28

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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.