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Finding the Fourth Proportional to 4,467.65, 6,165.34 and 2,478.50

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Solution

The fourth proportional to 4,467.65, 6,165.34 and 2,478.50 is: 3,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.65 : 6,165.34 = 2,478.50 : x
  2. Step 2: Convert to fraction form
    4,467.65/6,165.34 = 2,478.50/x
  3. Step 3: Cross multiply
    4,467.65x = 6,165.34 × 2,478.50
  4. Step 4: Simplify right side
    4,467.65x = 15,280,795.19
  5. Step 5: Solve for x
    x = 15,280,795.19/4,467.65
  6. Step 6: Final answer
    x = 3,420.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.