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Finding the Fourth Proportional to 5,378.81, 8,068.16 and 1,681.07

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Solution

The fourth proportional to 5,378.81, 8,068.16 and 1,681.07 is: 2,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.81 : 8,068.16 = 1,681.07 : x
  2. Step 2: Convert to fraction form
    5,378.81/8,068.16 = 1,681.07/x
  3. Step 3: Cross multiply
    5,378.81x = 8,068.16 × 1,681.07
  4. Step 4: Simplify right side
    5,378.81x = 13,563,092.99
  5. Step 5: Solve for x
    x = 13,563,092.99/5,378.81
  6. Step 6: Final answer
    x = 2,521.58

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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.