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Finding the Fourth Proportional to 3,612.66, 5,417.89 and 1,532.63

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Solution

The fourth proportional to 3,612.66, 5,417.89 and 1,532.63 is: 2,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.66 : 5,417.89 = 1,532.63 : x
  2. Step 2: Convert to fraction form
    3,612.66/5,417.89 = 1,532.63/x
  3. Step 3: Cross multiply
    3,612.66x = 5,417.89 × 1,532.63
  4. Step 4: Simplify right side
    3,612.66x = 8,303,589.83
  5. Step 5: Solve for x
    x = 8,303,589.83/3,612.66
  6. Step 6: Final answer
    x = 2,298.47

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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.