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Finding the Fourth Proportional to 4,196.16, 6,291.54 and 1,597.68

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Solution

The fourth proportional to 4,196.16, 6,291.54 and 1,597.68 is: 2,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.16 : 6,291.54 = 1,597.68 : x
  2. Step 2: Convert to fraction form
    4,196.16/6,291.54 = 1,597.68/x
  3. Step 3: Cross multiply
    4,196.16x = 6,291.54 × 1,597.68
  4. Step 4: Simplify right side
    4,196.16x = 10,051,867.63
  5. Step 5: Solve for x
    x = 10,051,867.63/4,196.16
  6. Step 6: Final answer
    x = 2,395.49

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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.