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Finding the Fourth Proportional to 4,901.70, 7,352.55 and 2,828.10

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Solution

The fourth proportional to 4,901.70, 7,352.55 and 2,828.10 is: 4,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.70 : 7,352.55 = 2,828.10 : x
  2. Step 2: Convert to fraction form
    4,901.70/7,352.55 = 2,828.10/x
  3. Step 3: Cross multiply
    4,901.70x = 7,352.55 × 2,828.10
  4. Step 4: Simplify right side
    4,901.70x = 20,793,746.66
  5. Step 5: Solve for x
    x = 20,793,746.66/4,901.70
  6. Step 6: Final answer
    x = 4,242.15

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1.5x scale

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.