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Finding the Fourth Proportional to 5,462.83, 8,193.06 and 1,953.08

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Solution

The fourth proportional to 5,462.83, 8,193.06 and 1,953.08 is: 2,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.83 : 8,193.06 = 1,953.08 : x
  2. Step 2: Convert to fraction form
    5,462.83/8,193.06 = 1,953.08/x
  3. Step 3: Cross multiply
    5,462.83x = 8,193.06 × 1,953.08
  4. Step 4: Simplify right side
    5,462.83x = 16,001,744.79
  5. Step 5: Solve for x
    x = 16,001,744.79/5,462.83
  6. Step 6: Final answer
    x = 2,929.20

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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.