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Finding the Fourth Proportional to 4,597.68, 6,896.52 and 1,134.96

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Solution

The fourth proportional to 4,597.68, 6,896.52 and 1,134.96 is: 1,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.68 : 6,896.52 = 1,134.96 : x
  2. Step 2: Convert to fraction form
    4,597.68/6,896.52 = 1,134.96/x
  3. Step 3: Cross multiply
    4,597.68x = 6,896.52 × 1,134.96
  4. Step 4: Simplify right side
    4,597.68x = 7,827,274.34
  5. Step 5: Solve for x
    x = 7,827,274.34/4,597.68
  6. Step 6: Final answer
    x = 1,702.44

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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.