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Finding the Fourth Proportional to 4,931.85, 7,398.28 and 1,644.06

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Solution

The fourth proportional to 4,931.85, 7,398.28 and 1,644.06 is: 2,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.85 : 7,398.28 = 1,644.06 : x
  2. Step 2: Convert to fraction form
    4,931.85/7,398.28 = 1,644.06/x
  3. Step 3: Cross multiply
    4,931.85x = 7,398.28 × 1,644.06
  4. Step 4: Simplify right side
    4,931.85x = 12,163,216.22
  5. Step 5: Solve for x
    x = 12,163,216.22/4,931.85
  6. Step 6: Final answer
    x = 2,466.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.