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Finding the Fourth Proportional to 5,492.65, 8,239.80 and 1,596.55

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Solution

The fourth proportional to 5,492.65, 8,239.80 and 1,596.55 is: 2,395.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.65 : 8,239.80 = 1,596.55 : x
  2. Step 2: Convert to fraction form
    5,492.65/8,239.80 = 1,596.55/x
  3. Step 3: Cross multiply
    5,492.65x = 8,239.80 × 1,596.55
  4. Step 4: Simplify right side
    5,492.65x = 13,155,252.69
  5. Step 5: Solve for x
    x = 13,155,252.69/5,492.65
  6. Step 6: Final answer
    x = 2,395.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.