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Finding the Fourth Proportional to 3,663.64, 5,498.54 and 1,585.23

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Solution

The fourth proportional to 3,663.64, 5,498.54 and 1,585.23 is: 2,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.64 : 5,498.54 = 1,585.23 : x
  2. Step 2: Convert to fraction form
    3,663.64/5,498.54 = 1,585.23/x
  3. Step 3: Cross multiply
    3,663.64x = 5,498.54 × 1,585.23
  4. Step 4: Simplify right side
    3,663.64x = 8,716,467.74
  5. Step 5: Solve for x
    x = 8,716,467.74/3,663.64
  6. Step 6: Final answer
    x = 2,379.18

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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.