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Finding the Fourth Proportional to 4,586.22, 6,328.94 and 2,697.30

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Solution

The fourth proportional to 4,586.22, 6,328.94 and 2,697.30 is: 3,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.22 : 6,328.94 = 2,697.30 : x
  2. Step 2: Convert to fraction form
    4,586.22/6,328.94 = 2,697.30/x
  3. Step 3: Cross multiply
    4,586.22x = 6,328.94 × 2,697.30
  4. Step 4: Simplify right side
    4,586.22x = 17,071,036.38
  5. Step 5: Solve for x
    x = 17,071,036.38/4,586.22
  6. Step 6: Final answer
    x = 3,722.25

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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.