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Finding the Fourth Proportional to 5,547.69, 7,651.67 and 4,061.61

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Solution

The fourth proportional to 5,547.69, 7,651.67 and 4,061.61 is: 5,601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.69 : 7,651.67 = 4,061.61 : x
  2. Step 2: Convert to fraction form
    5,547.69/7,651.67 = 4,061.61/x
  3. Step 3: Cross multiply
    5,547.69x = 7,651.67 × 4,061.61
  4. Step 4: Simplify right side
    5,547.69x = 31,078,079.08
  5. Step 5: Solve for x
    x = 31,078,079.08/5,547.69
  6. Step 6: Final answer
    x = 5,601.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.