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Finding the Fourth Proportional to 3,670.71, 5,506.03 and 897.40

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Solution

The fourth proportional to 3,670.71, 5,506.03 and 897.40 is: 1,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.71 : 5,506.03 = 897.40 : x
  2. Step 2: Convert to fraction form
    3,670.71/5,506.03 = 897.40/x
  3. Step 3: Cross multiply
    3,670.71x = 5,506.03 × 897.40
  4. Step 4: Simplify right side
    3,670.71x = 4,941,111.32
  5. Step 5: Solve for x
    x = 4,941,111.32/3,670.71
  6. Step 6: Final answer
    x = 1,346.09

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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.