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Finding the Fourth Proportional to 5,304.75, 7,957.14 and 1,842

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Solution

The fourth proportional to 5,304.75, 7,957.14 and 1,842 is: 2,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.75 : 7,957.14 = 1,842 : x
  2. Step 2: Convert to fraction form
    5,304.75/7,957.14 = 1,842/x
  3. Step 3: Cross multiply
    5,304.75x = 7,957.14 × 1,842
  4. Step 4: Simplify right side
    5,304.75x = 14,657,051.88
  5. Step 5: Solve for x
    x = 14,657,051.88/5,304.75
  6. Step 6: Final answer
    x = 2,763.01

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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.