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Finding the Fourth Proportional to 5,135.35, 7,700.23 and 1,802.73

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Solution

The fourth proportional to 5,135.35, 7,700.23 and 1,802.73 is: 2,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.35 : 7,700.23 = 1,802.73 : x
  2. Step 2: Convert to fraction form
    5,135.35/7,700.23 = 1,802.73/x
  3. Step 3: Cross multiply
    5,135.35x = 7,700.23 × 1,802.73
  4. Step 4: Simplify right side
    5,135.35x = 13,881,435.63
  5. Step 5: Solve for x
    x = 13,881,435.63/5,135.35
  6. Step 6: Final answer
    x = 2,703.11

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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.