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Finding the Fourth Proportional to 4,762.18, 7,143.58 and 1,252.28

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Solution

The fourth proportional to 4,762.18, 7,143.58 and 1,252.28 is: 1,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.18 : 7,143.58 = 1,252.28 : x
  2. Step 2: Convert to fraction form
    4,762.18/7,143.58 = 1,252.28/x
  3. Step 3: Cross multiply
    4,762.18x = 7,143.58 × 1,252.28
  4. Step 4: Simplify right side
    4,762.18x = 8,945,745.13
  5. Step 5: Solve for x
    x = 8,945,745.13/4,762.18
  6. Step 6: Final answer
    x = 1,878.50

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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.