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Finding the Fourth Proportional to 3,840.63, 5,300.06 and 2,184.63

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Solution

The fourth proportional to 3,840.63, 5,300.06 and 2,184.63 is: 3,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.63 : 5,300.06 = 2,184.63 : x
  2. Step 2: Convert to fraction form
    3,840.63/5,300.06 = 2,184.63/x
  3. Step 3: Cross multiply
    3,840.63x = 5,300.06 × 2,184.63
  4. Step 4: Simplify right side
    3,840.63x = 11,578,670.08
  5. Step 5: Solve for x
    x = 11,578,670.08/3,840.63
  6. Step 6: Final answer
    x = 3,014.78

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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.