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Finding the Fourth Proportional to 5,792, 8,688 and 2,328.44

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Solution

The fourth proportional to 5,792, 8,688 and 2,328.44 is: 3,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792 : 8,688 = 2,328.44 : x
  2. Step 2: Convert to fraction form
    5,792/8,688 = 2,328.44/x
  3. Step 3: Cross multiply
    5,792x = 8,688 × 2,328.44
  4. Step 4: Simplify right side
    5,792x = 20,229,486.72
  5. Step 5: Solve for x
    x = 20,229,486.72/5,792
  6. Step 6: Final answer
    x = 3,492.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.