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Finding the Fourth Proportional to 5,005.32, 6,894.54 and 4,164.36

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Solution

The fourth proportional to 5,005.32, 6,894.54 and 4,164.36 is: 5,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.32 : 6,894.54 = 4,164.36 : x
  2. Step 2: Convert to fraction form
    5,005.32/6,894.54 = 4,164.36/x
  3. Step 3: Cross multiply
    5,005.32x = 6,894.54 × 4,164.36
  4. Step 4: Simplify right side
    5,005.32x = 28,711,346.59
  5. Step 5: Solve for x
    x = 28,711,346.59/5,005.32
  6. Step 6: Final answer
    x = 5,736.17

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