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Finding the Fourth Proportional to 3,802.34, 5,703.71 and 1,205.48

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Solution

The fourth proportional to 3,802.34, 5,703.71 and 1,205.48 is: 1,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.34 : 5,703.71 = 1,205.48 : x
  2. Step 2: Convert to fraction form
    3,802.34/5,703.71 = 1,205.48/x
  3. Step 3: Cross multiply
    3,802.34x = 5,703.71 × 1,205.48
  4. Step 4: Simplify right side
    3,802.34x = 6,875,673.78
  5. Step 5: Solve for x
    x = 6,875,673.78/3,802.34
  6. Step 6: Final answer
    x = 1,808.28

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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.