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Finding the Fourth Proportional to 5,641.65, 7,786.44 and 3,403.71

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Solution

The fourth proportional to 5,641.65, 7,786.44 and 3,403.71 is: 4,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.65 : 7,786.44 = 3,403.71 : x
  2. Step 2: Convert to fraction form
    5,641.65/7,786.44 = 3,403.71/x
  3. Step 3: Cross multiply
    5,641.65x = 7,786.44 × 3,403.71
  4. Step 4: Simplify right side
    5,641.65x = 26,502,783.69
  5. Step 5: Solve for x
    x = 26,502,783.69/5,641.65
  6. Step 6: Final answer
    x = 4,697.70

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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.