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Finding the Fourth Proportional to 4,765.54, 7,136 and 3,289.32

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Solution

The fourth proportional to 4,765.54, 7,136 and 3,289.32 is: 4,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.54 : 7,136 = 3,289.32 : x
  2. Step 2: Convert to fraction form
    4,765.54/7,136 = 3,289.32/x
  3. Step 3: Cross multiply
    4,765.54x = 7,136 × 3,289.32
  4. Step 4: Simplify right side
    4,765.54x = 23,472,551.84
  5. Step 5: Solve for x
    x = 23,472,551.84/4,765.54
  6. Step 6: Final answer
    x = 4,925.48

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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.