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Finding the Fourth Proportional to 5,292.84, 7,302.84 and 3,967.68

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Solution

The fourth proportional to 5,292.84, 7,302.84 and 3,967.68 is: 5,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.84 : 7,302.84 = 3,967.68 : x
  2. Step 2: Convert to fraction form
    5,292.84/7,302.84 = 3,967.68/x
  3. Step 3: Cross multiply
    5,292.84x = 7,302.84 × 3,967.68
  4. Step 4: Simplify right side
    5,292.84x = 28,975,332.21
  5. Step 5: Solve for x
    x = 28,975,332.21/5,292.84
  6. Step 6: Final answer
    x = 5,474.44

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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.