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Finding the Fourth Proportional to 4,599.53, 6,899.33 and 1,312.62

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Solution

The fourth proportional to 4,599.53, 6,899.33 and 1,312.62 is: 1,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.53 : 6,899.33 = 1,312.62 : x
  2. Step 2: Convert to fraction form
    4,599.53/6,899.33 = 1,312.62/x
  3. Step 3: Cross multiply
    4,599.53x = 6,899.33 × 1,312.62
  4. Step 4: Simplify right side
    4,599.53x = 9,056,198.54
  5. Step 5: Solve for x
    x = 9,056,198.54/4,599.53
  6. Step 6: Final answer
    x = 1,968.94

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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.