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Finding the Fourth Proportional to 5,666.52, 7,800.39 and 4,916.06

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Solution

The fourth proportional to 5,666.52, 7,800.39 and 4,916.06 is: 6,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.52 : 7,800.39 = 4,916.06 : x
  2. Step 2: Convert to fraction form
    5,666.52/7,800.39 = 4,916.06/x
  3. Step 3: Cross multiply
    5,666.52x = 7,800.39 × 4,916.06
  4. Step 4: Simplify right side
    5,666.52x = 38,347,185.26
  5. Step 5: Solve for x
    x = 38,347,185.26/5,666.52
  6. Step 6: Final answer
    x = 6,767.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.