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Finding the Fourth Proportional to 3,196.59, 4,417.52 and 2,597.91

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Solution

The fourth proportional to 3,196.59, 4,417.52 and 2,597.91 is: 3,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.59 : 4,417.52 = 2,597.91 : x
  2. Step 2: Convert to fraction form
    3,196.59/4,417.52 = 2,597.91/x
  3. Step 3: Cross multiply
    3,196.59x = 4,417.52 × 2,597.91
  4. Step 4: Simplify right side
    3,196.59x = 11,476,306.39
  5. Step 5: Solve for x
    x = 11,476,306.39/3,196.59
  6. Step 6: Final answer
    x = 3,590.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.