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Finding the Fourth Proportional to 5,308.16, 7,960.32 and 1,848.32

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Solution

The fourth proportional to 5,308.16, 7,960.32 and 1,848.32 is: 2,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.16 : 7,960.32 = 1,848.32 : x
  2. Step 2: Convert to fraction form
    5,308.16/7,960.32 = 1,848.32/x
  3. Step 3: Cross multiply
    5,308.16x = 7,960.32 × 1,848.32
  4. Step 4: Simplify right side
    5,308.16x = 14,713,218.66
  5. Step 5: Solve for x
    x = 14,713,218.66/5,308.16
  6. Step 6: Final answer
    x = 2,771.81

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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.