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Finding the Fourth Proportional to 3,804, 5,708.72 and 1,495.52

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Solution

The fourth proportional to 3,804, 5,708.72 and 1,495.52 is: 2,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804 : 5,708.72 = 1,495.52 : x
  2. Step 2: Convert to fraction form
    3,804/5,708.72 = 1,495.52/x
  3. Step 3: Cross multiply
    3,804x = 5,708.72 × 1,495.52
  4. Step 4: Simplify right side
    3,804x = 8,537,504.93
  5. Step 5: Solve for x
    x = 8,537,504.93/3,804
  6. Step 6: Final answer
    x = 2,244.35

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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.