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Finding the Fourth Proportional to 5,567.16, 7,683.94 and 3,470.88

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Solution

The fourth proportional to 5,567.16, 7,683.94 and 3,470.88 is: 4,790.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.16 : 7,683.94 = 3,470.88 : x
  2. Step 2: Convert to fraction form
    5,567.16/7,683.94 = 3,470.88/x
  3. Step 3: Cross multiply
    5,567.16x = 7,683.94 × 3,470.88
  4. Step 4: Simplify right side
    5,567.16x = 26,669,986.57
  5. Step 5: Solve for x
    x = 26,669,986.57/5,567.16
  6. Step 6: Final answer
    x = 4,790.60

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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.