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Finding the Fourth Proportional to 5,762.16, 8,646.48 and 2,063.76

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Solution

The fourth proportional to 5,762.16, 8,646.48 and 2,063.76 is: 3,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.16 : 8,646.48 = 2,063.76 : x
  2. Step 2: Convert to fraction form
    5,762.16/8,646.48 = 2,063.76/x
  3. Step 3: Cross multiply
    5,762.16x = 8,646.48 × 2,063.76
  4. Step 4: Simplify right side
    5,762.16x = 17,844,259.56
  5. Step 5: Solve for x
    x = 17,844,259.56/5,762.16
  6. Step 6: Final answer
    x = 3,096.80

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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.