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Finding the Fourth Proportional to 5,929.74, 8,184 and 3,572.34

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Solution

The fourth proportional to 5,929.74, 8,184 and 3,572.34 is: 4,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.74 : 8,184 = 3,572.34 : x
  2. Step 2: Convert to fraction form
    5,929.74/8,184 = 3,572.34/x
  3. Step 3: Cross multiply
    5,929.74x = 8,184 × 3,572.34
  4. Step 4: Simplify right side
    5,929.74x = 29,236,030.56
  5. Step 5: Solve for x
    x = 29,236,030.56/5,929.74
  6. Step 6: Final answer
    x = 4,930.41

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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.