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Finding the Fourth Proportional to 3,925.36, 5,883.56 and 1,614

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Solution

The fourth proportional to 3,925.36, 5,883.56 and 1,614 is: 2,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.36 : 5,883.56 = 1,614 : x
  2. Step 2: Convert to fraction form
    3,925.36/5,883.56 = 1,614/x
  3. Step 3: Cross multiply
    3,925.36x = 5,883.56 × 1,614
  4. Step 4: Simplify right side
    3,925.36x = 9,496,065.84
  5. Step 5: Solve for x
    x = 9,496,065.84/3,925.36
  6. Step 6: Final answer
    x = 2,419.16

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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.