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Finding the Fourth Proportional to 5,619.65, 7,756.36 and 4,207.68

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Solution

The fourth proportional to 5,619.65, 7,756.36 and 4,207.68 is: 5,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.65 : 7,756.36 = 4,207.68 : x
  2. Step 2: Convert to fraction form
    5,619.65/7,756.36 = 4,207.68/x
  3. Step 3: Cross multiply
    5,619.65x = 7,756.36 × 4,207.68
  4. Step 4: Simplify right side
    5,619.65x = 32,636,270.33
  5. Step 5: Solve for x
    x = 32,636,270.33/5,619.65
  6. Step 6: Final answer
    x = 5,807.53

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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.