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Finding the Fourth Proportional to 6,008.64, 8,295.20 and 4,616

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Solution

The fourth proportional to 6,008.64, 8,295.20 and 4,616 is: 6,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,008.64 : 8,295.20 = 4,616 : x
  2. Step 2: Convert to fraction form
    6,008.64/8,295.20 = 4,616/x
  3. Step 3: Cross multiply
    6,008.64x = 8,295.20 × 4,616
  4. Step 4: Simplify right side
    6,008.64x = 38,290,643.20
  5. Step 5: Solve for x
    x = 38,290,643.20/6,008.64
  6. Step 6: Final answer
    x = 6,372.60

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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.