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Finding the Fourth Proportional to 5,113.44, 7,670.16 and 1,653.12

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Solution

The fourth proportional to 5,113.44, 7,670.16 and 1,653.12 is: 2,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.44 : 7,670.16 = 1,653.12 : x
  2. Step 2: Convert to fraction form
    5,113.44/7,670.16 = 1,653.12/x
  3. Step 3: Cross multiply
    5,113.44x = 7,670.16 × 1,653.12
  4. Step 4: Simplify right side
    5,113.44x = 12,679,694.90
  5. Step 5: Solve for x
    x = 12,679,694.90/5,113.44
  6. Step 6: Final answer
    x = 2,479.68

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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.