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Finding the Fourth Proportional to 3,678.01, 5,071.41 and 2,931.39

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Solution

The fourth proportional to 3,678.01, 5,071.41 and 2,931.39 is: 4,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.01 : 5,071.41 = 2,931.39 : x
  2. Step 2: Convert to fraction form
    3,678.01/5,071.41 = 2,931.39/x
  3. Step 3: Cross multiply
    3,678.01x = 5,071.41 × 2,931.39
  4. Step 4: Simplify right side
    3,678.01x = 14,866,280.56
  5. Step 5: Solve for x
    x = 14,866,280.56/3,678.01
  6. Step 6: Final answer
    x = 4,041.94

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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.