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Finding the Fourth Proportional to 5,566.85, 7,683.51 and 3,470.57

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Solution

The fourth proportional to 5,566.85, 7,683.51 and 3,470.57 is: 4,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.85 : 7,683.51 = 3,470.57 : x
  2. Step 2: Convert to fraction form
    5,566.85/7,683.51 = 3,470.57/x
  3. Step 3: Cross multiply
    5,566.85x = 7,683.51 × 3,470.57
  4. Step 4: Simplify right side
    5,566.85x = 26,666,103.53
  5. Step 5: Solve for x
    x = 26,666,103.53/5,566.85
  6. Step 6: Final answer
    x = 4,790.16

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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.