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Finding the Fourth Proportional to 4,530.32, 6,798 and 2,222

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Solution

The fourth proportional to 4,530.32, 6,798 and 2,222 is: 3,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.32 : 6,798 = 2,222 : x
  2. Step 2: Convert to fraction form
    4,530.32/6,798 = 2,222/x
  3. Step 3: Cross multiply
    4,530.32x = 6,798 × 2,222
  4. Step 4: Simplify right side
    4,530.32x = 15,105,156
  5. Step 5: Solve for x
    x = 15,105,156/4,530.32
  6. Step 6: Final answer
    x = 3,334.24

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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.