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Finding the Fourth Proportional to 5,359.74, 8,038.53 and 1,661.09

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Solution

The fourth proportional to 5,359.74, 8,038.53 and 1,661.09 is: 2,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.74 : 8,038.53 = 1,661.09 : x
  2. Step 2: Convert to fraction form
    5,359.74/8,038.53 = 1,661.09/x
  3. Step 3: Cross multiply
    5,359.74x = 8,038.53 × 1,661.09
  4. Step 4: Simplify right side
    5,359.74x = 13,352,681.61
  5. Step 5: Solve for x
    x = 13,352,681.61/5,359.74
  6. Step 6: Final answer
    x = 2,491.29

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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.