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Finding the Fourth Proportional to 4,460.36, 6,155.72 and 2,597

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Solution

The fourth proportional to 4,460.36, 6,155.72 and 2,597 is: 3,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.36 : 6,155.72 = 2,597 : x
  2. Step 2: Convert to fraction form
    4,460.36/6,155.72 = 2,597/x
  3. Step 3: Cross multiply
    4,460.36x = 6,155.72 × 2,597
  4. Step 4: Simplify right side
    4,460.36x = 15,986,404.84
  5. Step 5: Solve for x
    x = 15,986,404.84/4,460.36
  6. Step 6: Final answer
    x = 3,584.11

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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.