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Finding the Fourth Proportional to 4,442.34, 6,664.65 and 1,520.65

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Solution

The fourth proportional to 4,442.34, 6,664.65 and 1,520.65 is: 2,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.34 : 6,664.65 = 1,520.65 : x
  2. Step 2: Convert to fraction form
    4,442.34/6,664.65 = 1,520.65/x
  3. Step 3: Cross multiply
    4,442.34x = 6,664.65 × 1,520.65
  4. Step 4: Simplify right side
    4,442.34x = 10,134,596.74
  5. Step 5: Solve for x
    x = 10,134,596.74/4,442.34
  6. Step 6: Final answer
    x = 2,281.36

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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.