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Finding the Fourth Proportional to 4,702.02, 7,053.84 and 1,930.20

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Solution

The fourth proportional to 4,702.02, 7,053.84 and 1,930.20 is: 2,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.02 : 7,053.84 = 1,930.20 : x
  2. Step 2: Convert to fraction form
    4,702.02/7,053.84 = 1,930.20/x
  3. Step 3: Cross multiply
    4,702.02x = 7,053.84 × 1,930.20
  4. Step 4: Simplify right side
    4,702.02x = 13,615,321.97
  5. Step 5: Solve for x
    x = 13,615,321.97/4,702.02
  6. Step 6: Final answer
    x = 2,895.63

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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.