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Finding the Fourth Proportional to 4,929.42, 7,393.32 and 1,642.08

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Solution

The fourth proportional to 4,929.42, 7,393.32 and 1,642.08 is: 2,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.42 : 7,393.32 = 1,642.08 : x
  2. Step 2: Convert to fraction form
    4,929.42/7,393.32 = 1,642.08/x
  3. Step 3: Cross multiply
    4,929.42x = 7,393.32 × 1,642.08
  4. Step 4: Simplify right side
    4,929.42x = 12,140,422.91
  5. Step 5: Solve for x
    x = 12,140,422.91/4,929.42
  6. Step 6: Final answer
    x = 2,462.85

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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.