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Finding the Fourth Proportional to 5,489.42, 7,566.53 and 4,292.28

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Solution

The fourth proportional to 5,489.42, 7,566.53 and 4,292.28 is: 5,916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.42 : 7,566.53 = 4,292.28 : x
  2. Step 2: Convert to fraction form
    5,489.42/7,566.53 = 4,292.28/x
  3. Step 3: Cross multiply
    5,489.42x = 7,566.53 × 4,292.28
  4. Step 4: Simplify right side
    5,489.42x = 32,477,643.93
  5. Step 5: Solve for x
    x = 32,477,643.93/5,489.42
  6. Step 6: Final answer
    x = 5,916.41

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1.5x scale

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.