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Finding the Fourth Proportional to 5,663.76, 8,494.32 and 2,376.48

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Solution

The fourth proportional to 5,663.76, 8,494.32 and 2,376.48 is: 3,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.76 : 8,494.32 = 2,376.48 : x
  2. Step 2: Convert to fraction form
    5,663.76/8,494.32 = 2,376.48/x
  3. Step 3: Cross multiply
    5,663.76x = 8,494.32 × 2,376.48
  4. Step 4: Simplify right side
    5,663.76x = 20,186,581.59
  5. Step 5: Solve for x
    x = 20,186,581.59/5,663.76
  6. Step 6: Final answer
    x = 3,564.17

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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.