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Finding the Fourth Proportional to 3,598.02, 5,398.47 and 1,952.64

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Solution

The fourth proportional to 3,598.02, 5,398.47 and 1,952.64 is: 2,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.02 : 5,398.47 = 1,952.64 : x
  2. Step 2: Convert to fraction form
    3,598.02/5,398.47 = 1,952.64/x
  3. Step 3: Cross multiply
    3,598.02x = 5,398.47 × 1,952.64
  4. Step 4: Simplify right side
    3,598.02x = 10,541,268.46
  5. Step 5: Solve for x
    x = 10,541,268.46/3,598.02
  6. Step 6: Final answer
    x = 2,929.74

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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.