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Finding the Fourth Proportional to 4,815.71, 7,223.54 and 1,529.06

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Solution

The fourth proportional to 4,815.71, 7,223.54 and 1,529.06 is: 2,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.71 : 7,223.54 = 1,529.06 : x
  2. Step 2: Convert to fraction form
    4,815.71/7,223.54 = 1,529.06/x
  3. Step 3: Cross multiply
    4,815.71x = 7,223.54 × 1,529.06
  4. Step 4: Simplify right side
    4,815.71x = 11,045,182.31
  5. Step 5: Solve for x
    x = 11,045,182.31/4,815.71
  6. Step 6: Final answer
    x = 2,293.57

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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.