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Finding the Fourth Proportional to 5,929.74, 8,182.02 and 3,411.30

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Solution

The fourth proportional to 5,929.74, 8,182.02 and 3,411.30 is: 4,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.74 : 8,182.02 = 3,411.30 : x
  2. Step 2: Convert to fraction form
    5,929.74/8,182.02 = 3,411.30/x
  3. Step 3: Cross multiply
    5,929.74x = 8,182.02 × 3,411.30
  4. Step 4: Simplify right side
    5,929.74x = 27,911,324.83
  5. Step 5: Solve for x
    x = 27,911,324.83/5,929.74
  6. Step 6: Final answer
    x = 4,707.01

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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.