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Finding the Fourth Proportional to 4,597.56, 6,890.13 and 3,296.16

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Solution

The fourth proportional to 4,597.56, 6,890.13 and 3,296.16 is: 4,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.56 : 6,890.13 = 3,296.16 : x
  2. Step 2: Convert to fraction form
    4,597.56/6,890.13 = 3,296.16/x
  3. Step 3: Cross multiply
    4,597.56x = 6,890.13 × 3,296.16
  4. Step 4: Simplify right side
    4,597.56x = 22,710,970.90
  5. Step 5: Solve for x
    x = 22,710,970.90/4,597.56
  6. Step 6: Final answer
    x = 4,939.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.