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Finding the Fourth Proportional to 5,762.16, 8,643.24 and 4,734

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Solution

The fourth proportional to 5,762.16, 8,643.24 and 4,734 is: 7,101

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.16 : 8,643.24 = 4,734 : x
  2. Step 2: Convert to fraction form
    5,762.16/8,643.24 = 4,734/x
  3. Step 3: Cross multiply
    5,762.16x = 8,643.24 × 4,734
  4. Step 4: Simplify right side
    5,762.16x = 40,917,098.16
  5. Step 5: Solve for x
    x = 40,917,098.16/5,762.16
  6. Step 6: Final answer
    x = 7,101

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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.