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Finding the Fourth Proportional to 3,663.93, 5,056.19 and 1,985.30

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Solution

The fourth proportional to 3,663.93, 5,056.19 and 1,985.30 is: 2,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.93 : 5,056.19 = 1,985.30 : x
  2. Step 2: Convert to fraction form
    3,663.93/5,056.19 = 1,985.30/x
  3. Step 3: Cross multiply
    3,663.93x = 5,056.19 × 1,985.30
  4. Step 4: Simplify right side
    3,663.93x = 10,038,054.01
  5. Step 5: Solve for x
    x = 10,038,054.01/3,663.93
  6. Step 6: Final answer
    x = 2,739.70

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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.