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Finding the Fourth Proportional to 3,887.55, 5,827.80 and 1,420.63

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Solution

The fourth proportional to 3,887.55, 5,827.80 and 1,420.63 is: 2,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.55 : 5,827.80 = 1,420.63 : x
  2. Step 2: Convert to fraction form
    3,887.55/5,827.80 = 1,420.63/x
  3. Step 3: Cross multiply
    3,887.55x = 5,827.80 × 1,420.63
  4. Step 4: Simplify right side
    3,887.55x = 8,279,147.51
  5. Step 5: Solve for x
    x = 8,279,147.51/3,887.55
  6. Step 6: Final answer
    x = 2,129.66

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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.