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Finding the Fourth Proportional to 6,580.65, 9,081.30 and 3,596.48

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Solution

The fourth proportional to 6,580.65, 9,081.30 and 3,596.48 is: 4,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.65 : 9,081.30 = 3,596.48 : x
  2. Step 2: Convert to fraction form
    6,580.65/9,081.30 = 3,596.48/x
  3. Step 3: Cross multiply
    6,580.65x = 9,081.30 × 3,596.48
  4. Step 4: Simplify right side
    6,580.65x = 32,660,746.81
  5. Step 5: Solve for x
    x = 32,660,746.81/6,580.65
  6. Step 6: Final answer
    x = 4,963.15

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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.