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Finding the Fourth Proportional to 5,566.92, 7,683.72 and 3,578.04

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Solution

The fourth proportional to 5,566.92, 7,683.72 and 3,578.04 is: 4,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.92 : 7,683.72 = 3,578.04 : x
  2. Step 2: Convert to fraction form
    5,566.92/7,683.72 = 3,578.04/x
  3. Step 3: Cross multiply
    5,566.92x = 7,683.72 × 3,578.04
  4. Step 4: Simplify right side
    5,566.92x = 27,492,657.51
  5. Step 5: Solve for x
    x = 27,492,657.51/5,566.92
  6. Step 6: Final answer
    x = 4,938.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.