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Finding the Fourth Proportional to 5,712, 7,883.28 and 3,852.96

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Solution

The fourth proportional to 5,712, 7,883.28 and 3,852.96 is: 5,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712 : 7,883.28 = 3,852.96 : x
  2. Step 2: Convert to fraction form
    5,712/7,883.28 = 3,852.96/x
  3. Step 3: Cross multiply
    5,712x = 7,883.28 × 3,852.96
  4. Step 4: Simplify right side
    5,712x = 30,373,962.51
  5. Step 5: Solve for x
    x = 30,373,962.51/5,712
  6. Step 6: Final answer
    x = 5,317.57

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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.