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Finding the Fourth Proportional to 5,688.54, 7,848.90 and 3,329.82

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Solution

The fourth proportional to 5,688.54, 7,848.90 and 3,329.82 is: 4,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.54 : 7,848.90 = 3,329.82 : x
  2. Step 2: Convert to fraction form
    5,688.54/7,848.90 = 3,329.82/x
  3. Step 3: Cross multiply
    5,688.54x = 7,848.90 × 3,329.82
  4. Step 4: Simplify right side
    5,688.54x = 26,135,424.20
  5. Step 5: Solve for x
    x = 26,135,424.20/5,688.54
  6. Step 6: Final answer
    x = 4,594.40

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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.