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Finding the Fourth Proportional to 3,663.36, 5,495.58 and 1,066.50

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Solution

The fourth proportional to 3,663.36, 5,495.58 and 1,066.50 is: 1,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.36 : 5,495.58 = 1,066.50 : x
  2. Step 2: Convert to fraction form
    3,663.36/5,495.58 = 1,066.50/x
  3. Step 3: Cross multiply
    3,663.36x = 5,495.58 × 1,066.50
  4. Step 4: Simplify right side
    3,663.36x = 5,861,036.07
  5. Step 5: Solve for x
    x = 5,861,036.07/3,663.36
  6. Step 6: Final answer
    x = 1,599.91

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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.