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Finding the Fourth Proportional to 4,594, 6,891 and 1,516.24

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Solution

The fourth proportional to 4,594, 6,891 and 1,516.24 is: 2,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594 : 6,891 = 1,516.24 : x
  2. Step 2: Convert to fraction form
    4,594/6,891 = 1,516.24/x
  3. Step 3: Cross multiply
    4,594x = 6,891 × 1,516.24
  4. Step 4: Simplify right side
    4,594x = 10,448,409.84
  5. Step 5: Solve for x
    x = 10,448,409.84/4,594
  6. Step 6: Final answer
    x = 2,274.36

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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.