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Finding the Fourth Proportional to 5,503.16, 8,253 and 1,804.78

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Solution

The fourth proportional to 5,503.16, 8,253 and 1,804.78 is: 2,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.16 : 8,253 = 1,804.78 : x
  2. Step 2: Convert to fraction form
    5,503.16/8,253 = 1,804.78/x
  3. Step 3: Cross multiply
    5,503.16x = 8,253 × 1,804.78
  4. Step 4: Simplify right side
    5,503.16x = 14,894,849.34
  5. Step 5: Solve for x
    x = 14,894,849.34/5,503.16
  6. Step 6: Final answer
    x = 2,706.60

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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.