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Finding the Fourth Proportional to 4,333.63, 6,502.88 and 1,736.77

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Solution

The fourth proportional to 4,333.63, 6,502.88 and 1,736.77 is: 2,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.63 : 6,502.88 = 1,736.77 : x
  2. Step 2: Convert to fraction form
    4,333.63/6,502.88 = 1,736.77/x
  3. Step 3: Cross multiply
    4,333.63x = 6,502.88 × 1,736.77
  4. Step 4: Simplify right side
    4,333.63x = 11,294,006.90
  5. Step 5: Solve for x
    x = 11,294,006.90/4,333.63
  6. Step 6: Final answer
    x = 2,606.13

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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.