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Finding the Fourth Proportional to 3,901.86, 5,852.76 and 1,304.77

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Solution

The fourth proportional to 3,901.86, 5,852.76 and 1,304.77 is: 1,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.86 : 5,852.76 = 1,304.77 : x
  2. Step 2: Convert to fraction form
    3,901.86/5,852.76 = 1,304.77/x
  3. Step 3: Cross multiply
    3,901.86x = 5,852.76 × 1,304.77
  4. Step 4: Simplify right side
    3,901.86x = 7,636,505.67
  5. Step 5: Solve for x
    x = 7,636,505.67/3,901.86
  6. Step 6: Final answer
    x = 1,957.14

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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.