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Finding the Fourth Proportional to 5,335.40, 8,002.94 and 1,637.48

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Solution

The fourth proportional to 5,335.40, 8,002.94 and 1,637.48 is: 2,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.40 : 8,002.94 = 1,637.48 : x
  2. Step 2: Convert to fraction form
    5,335.40/8,002.94 = 1,637.48/x
  3. Step 3: Cross multiply
    5,335.40x = 8,002.94 × 1,637.48
  4. Step 4: Simplify right side
    5,335.40x = 13,104,654.19
  5. Step 5: Solve for x
    x = 13,104,654.19/5,335.40
  6. Step 6: Final answer
    x = 2,456.17

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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.