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Finding the Fourth Proportional to 5,096.43, 7,643.06 and 1,810.47

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Solution

The fourth proportional to 5,096.43, 7,643.06 and 1,810.47 is: 2,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.43 : 7,643.06 = 1,810.47 : x
  2. Step 2: Convert to fraction form
    5,096.43/7,643.06 = 1,810.47/x
  3. Step 3: Cross multiply
    5,096.43x = 7,643.06 × 1,810.47
  4. Step 4: Simplify right side
    5,096.43x = 13,837,521.79
  5. Step 5: Solve for x
    x = 13,837,521.79/5,096.43
  6. Step 6: Final answer
    x = 2,715.14

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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.