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Finding the Fourth Proportional to 3,509.96, 4,843.64 and 1,938.02

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Solution

The fourth proportional to 3,509.96, 4,843.64 and 1,938.02 is: 2,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.96 : 4,843.64 = 1,938.02 : x
  2. Step 2: Convert to fraction form
    3,509.96/4,843.64 = 1,938.02/x
  3. Step 3: Cross multiply
    3,509.96x = 4,843.64 × 1,938.02
  4. Step 4: Simplify right side
    3,509.96x = 9,387,071.19
  5. Step 5: Solve for x
    x = 9,387,071.19/3,509.96
  6. Step 6: Final answer
    x = 2,674.41

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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.