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Finding the Fourth Proportional to 4,915.69, 6,784.05 and 2,820.22

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Solution

The fourth proportional to 4,915.69, 6,784.05 and 2,820.22 is: 3,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.69 : 6,784.05 = 2,820.22 : x
  2. Step 2: Convert to fraction form
    4,915.69/6,784.05 = 2,820.22/x
  3. Step 3: Cross multiply
    4,915.69x = 6,784.05 × 2,820.22
  4. Step 4: Simplify right side
    4,915.69x = 19,132,507.11
  5. Step 5: Solve for x
    x = 19,132,507.11/4,915.69
  6. Step 6: Final answer
    x = 3,892.13

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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.