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Finding the Fourth Proportional to 5,256.06, 7,884.90 and 1,792.50

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Solution

The fourth proportional to 5,256.06, 7,884.90 and 1,792.50 is: 2,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.06 : 7,884.90 = 1,792.50 : x
  2. Step 2: Convert to fraction form
    5,256.06/7,884.90 = 1,792.50/x
  3. Step 3: Cross multiply
    5,256.06x = 7,884.90 × 1,792.50
  4. Step 4: Simplify right side
    5,256.06x = 14,133,683.25
  5. Step 5: Solve for x
    x = 14,133,683.25/5,256.06
  6. Step 6: Final answer
    x = 2,689.03

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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.