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Finding the Fourth Proportional to 5,574.71, 8,349.72 and 2,277.80

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Solution

The fourth proportional to 5,574.71, 8,349.72 and 2,277.80 is: 3,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.71 : 8,349.72 = 2,277.80 : x
  2. Step 2: Convert to fraction form
    5,574.71/8,349.72 = 2,277.80/x
  3. Step 3: Cross multiply
    5,574.71x = 8,349.72 × 2,277.80
  4. Step 4: Simplify right side
    5,574.71x = 19,018,992.22
  5. Step 5: Solve for x
    x = 19,018,992.22/5,574.71
  6. Step 6: Final answer
    x = 3,411.66

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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.