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Finding the Fourth Proportional to 4,952.64, 6,833.96 and 2,828.40

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Solution

The fourth proportional to 4,952.64, 6,833.96 and 2,828.40 is: 3,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.64 : 6,833.96 = 2,828.40 : x
  2. Step 2: Convert to fraction form
    4,952.64/6,833.96 = 2,828.40/x
  3. Step 3: Cross multiply
    4,952.64x = 6,833.96 × 2,828.40
  4. Step 4: Simplify right side
    4,952.64x = 19,329,172.46
  5. Step 5: Solve for x
    x = 19,329,172.46/4,952.64
  6. Step 6: Final answer
    x = 3,902.80

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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.