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Finding the Fourth Proportional to 3,663.86, 5,056.13 and 1,985.28

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Solution

The fourth proportional to 3,663.86, 5,056.13 and 1,985.28 is: 2,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.86 : 5,056.13 = 1,985.28 : x
  2. Step 2: Convert to fraction form
    3,663.86/5,056.13 = 1,985.28/x
  3. Step 3: Cross multiply
    3,663.86x = 5,056.13 × 1,985.28
  4. Step 4: Simplify right side
    3,663.86x = 10,037,823.84
  5. Step 5: Solve for x
    x = 10,037,823.84/3,663.86
  6. Step 6: Final answer
    x = 2,739.69

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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.