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Finding the Fourth Proportional to 4,666.74, 6,389.60 and 4,650.33

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Solution

The fourth proportional to 4,666.74, 6,389.60 and 4,650.33 is: 6,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.74 : 6,389.60 = 4,650.33 : x
  2. Step 2: Convert to fraction form
    4,666.74/6,389.60 = 4,650.33/x
  3. Step 3: Cross multiply
    4,666.74x = 6,389.60 × 4,650.33
  4. Step 4: Simplify right side
    4,666.74x = 29,713,748.57
  5. Step 5: Solve for x
    x = 29,713,748.57/4,666.74
  6. Step 6: Final answer
    x = 6,367.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.