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Finding the Fourth Proportional to 5,852.16, 8,076 and 3,199.56

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Solution

The fourth proportional to 5,852.16, 8,076 and 3,199.56 is: 4,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.16 : 8,076 = 3,199.56 : x
  2. Step 2: Convert to fraction form
    5,852.16/8,076 = 3,199.56/x
  3. Step 3: Cross multiply
    5,852.16x = 8,076 × 3,199.56
  4. Step 4: Simplify right side
    5,852.16x = 25,839,646.56
  5. Step 5: Solve for x
    x = 25,839,646.56/5,852.16
  6. Step 6: Final answer
    x = 4,415.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.