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Finding the Fourth Proportional to 3,688, 5,089.52 and 2,032

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Solution

The fourth proportional to 3,688, 5,089.52 and 2,032 is: 2,804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688 : 5,089.52 = 2,032 : x
  2. Step 2: Convert to fraction form
    3,688/5,089.52 = 2,032/x
  3. Step 3: Cross multiply
    3,688x = 5,089.52 × 2,032
  4. Step 4: Simplify right side
    3,688x = 10,341,904.64
  5. Step 5: Solve for x
    x = 10,341,904.64/3,688
  6. Step 6: Final answer
    x = 2,804.20

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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.