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Finding the Fourth Proportional to 4,756.84, 7,135.96 and 1,637.64

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Solution

The fourth proportional to 4,756.84, 7,135.96 and 1,637.64 is: 2,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.84 : 7,135.96 = 1,637.64 : x
  2. Step 2: Convert to fraction form
    4,756.84/7,135.96 = 1,637.64/x
  3. Step 3: Cross multiply
    4,756.84x = 7,135.96 × 1,637.64
  4. Step 4: Simplify right side
    4,756.84x = 11,686,133.53
  5. Step 5: Solve for x
    x = 11,686,133.53/4,756.84
  6. Step 6: Final answer
    x = 2,456.70

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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.