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Finding the Fourth Proportional to 4,596.55, 6,893.86 and 1,308.76

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Solution

The fourth proportional to 4,596.55, 6,893.86 and 1,308.76 is: 1,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.55 : 6,893.86 = 1,308.76 : x
  2. Step 2: Convert to fraction form
    4,596.55/6,893.86 = 1,308.76/x
  3. Step 3: Cross multiply
    4,596.55x = 6,893.86 × 1,308.76
  4. Step 4: Simplify right side
    4,596.55x = 9,022,390.16
  5. Step 5: Solve for x
    x = 9,022,390.16/4,596.55
  6. Step 6: Final answer
    x = 1,962.86

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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.