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Finding the Fourth Proportional to 5,567.63, 7,683.21 and 3,330

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Solution

The fourth proportional to 5,567.63, 7,683.21 and 3,330 is: 4,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.63 : 7,683.21 = 3,330 : x
  2. Step 2: Convert to fraction form
    5,567.63/7,683.21 = 3,330/x
  3. Step 3: Cross multiply
    5,567.63x = 7,683.21 × 3,330
  4. Step 4: Simplify right side
    5,567.63x = 25,585,089.30
  5. Step 5: Solve for x
    x = 25,585,089.30/5,567.63
  6. Step 6: Final answer
    x = 4,595.33

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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.