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Finding the Fourth Proportional to 4,498.65, 6,213.71 and 3,178.26

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Solution

The fourth proportional to 4,498.65, 6,213.71 and 3,178.26 is: 4,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.65 : 6,213.71 = 3,178.26 : x
  2. Step 2: Convert to fraction form
    4,498.65/6,213.71 = 3,178.26/x
  3. Step 3: Cross multiply
    4,498.65x = 6,213.71 × 3,178.26
  4. Step 4: Simplify right side
    4,498.65x = 19,748,785.94
  5. Step 5: Solve for x
    x = 19,748,785.94/4,498.65
  6. Step 6: Final answer
    x = 4,389.94

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