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Finding the Fourth Proportional to 4,596.10, 6,892.11 and 1,308.45

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Solution

The fourth proportional to 4,596.10, 6,892.11 and 1,308.45 is: 1,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.10 : 6,892.11 = 1,308.45 : x
  2. Step 2: Convert to fraction form
    4,596.10/6,892.11 = 1,308.45/x
  3. Step 3: Cross multiply
    4,596.10x = 6,892.11 × 1,308.45
  4. Step 4: Simplify right side
    4,596.10x = 9,017,946.87
  5. Step 5: Solve for x
    x = 9,017,946.87/4,596.10
  6. Step 6: Final answer
    x = 1,962.09

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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.