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Finding the Fourth Proportional to 4,726.23, 7,089.75 and 1,802.94

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Solution

The fourth proportional to 4,726.23, 7,089.75 and 1,802.94 is: 2,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.23 : 7,089.75 = 1,802.94 : x
  2. Step 2: Convert to fraction form
    4,726.23/7,089.75 = 1,802.94/x
  3. Step 3: Cross multiply
    4,726.23x = 7,089.75 × 1,802.94
  4. Step 4: Simplify right side
    4,726.23x = 12,782,393.87
  5. Step 5: Solve for x
    x = 12,782,393.87/4,726.23
  6. Step 6: Final answer
    x = 2,704.56

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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.