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Finding the Fourth Proportional to 4,923.64, 7,381.02 and 1,801.46

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Solution

The fourth proportional to 4,923.64, 7,381.02 and 1,801.46 is: 2,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.64 : 7,381.02 = 1,801.46 : x
  2. Step 2: Convert to fraction form
    4,923.64/7,381.02 = 1,801.46/x
  3. Step 3: Cross multiply
    4,923.64x = 7,381.02 × 1,801.46
  4. Step 4: Simplify right side
    4,923.64x = 13,296,612.29
  5. Step 5: Solve for x
    x = 13,296,612.29/4,923.64
  6. Step 6: Final answer
    x = 2,700.57

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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.