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Finding the Fourth Proportional to 4,435.78, 6,652.23 and 2,095.42

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Solution

The fourth proportional to 4,435.78, 6,652.23 and 2,095.42 is: 3,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435.78 : 6,652.23 = 2,095.42 : x
  2. Step 2: Convert to fraction form
    4,435.78/6,652.23 = 2,095.42/x
  3. Step 3: Cross multiply
    4,435.78x = 6,652.23 × 2,095.42
  4. Step 4: Simplify right side
    4,435.78x = 13,939,215.79
  5. Step 5: Solve for x
    x = 13,939,215.79/4,435.78
  6. Step 6: Final answer
    x = 3,142.45

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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.