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Finding the Fourth Proportional to 3,570.24, 4,927.24 and 2,078.63

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Solution

The fourth proportional to 3,570.24, 4,927.24 and 2,078.63 is: 2,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.24 : 4,927.24 = 2,078.63 : x
  2. Step 2: Convert to fraction form
    3,570.24/4,927.24 = 2,078.63/x
  3. Step 3: Cross multiply
    3,570.24x = 4,927.24 × 2,078.63
  4. Step 4: Simplify right side
    3,570.24x = 10,241,905.32
  5. Step 5: Solve for x
    x = 10,241,905.32/3,570.24
  6. Step 6: Final answer
    x = 2,868.69

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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.