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Finding the Fourth Proportional to 3,602.03, 4,970.81 and 1,946.03

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Solution

The fourth proportional to 3,602.03, 4,970.81 and 1,946.03 is: 2,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.03 : 4,970.81 = 1,946.03 : x
  2. Step 2: Convert to fraction form
    3,602.03/4,970.81 = 1,946.03/x
  3. Step 3: Cross multiply
    3,602.03x = 4,970.81 × 1,946.03
  4. Step 4: Simplify right side
    3,602.03x = 9,673,335.65
  5. Step 5: Solve for x
    x = 9,673,335.65/3,602.03
  6. Step 6: Final answer
    x = 2,685.52

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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.