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Finding the Fourth Proportional to 5,078.04, 7,596 and 4,767

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Solution

The fourth proportional to 5,078.04, 7,596 and 4,767 is: 7,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.04 : 7,596 = 4,767 : x
  2. Step 2: Convert to fraction form
    5,078.04/7,596 = 4,767/x
  3. Step 3: Cross multiply
    5,078.04x = 7,596 × 4,767
  4. Step 4: Simplify right side
    5,078.04x = 36,210,132
  5. Step 5: Solve for x
    x = 36,210,132/5,078.04
  6. Step 6: Final answer
    x = 7,130.73

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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.