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Finding the Fourth Proportional to 3,533.25, 4,877.10 and 2,136

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Solution

The fourth proportional to 3,533.25, 4,877.10 and 2,136 is: 2,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.25 : 4,877.10 = 2,136 : x
  2. Step 2: Convert to fraction form
    3,533.25/4,877.10 = 2,136/x
  3. Step 3: Cross multiply
    3,533.25x = 4,877.10 × 2,136
  4. Step 4: Simplify right side
    3,533.25x = 10,417,485.60
  5. Step 5: Solve for x
    x = 10,417,485.60/3,533.25
  6. Step 6: Final answer
    x = 2,948.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.