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Finding the Fourth Proportional to 4,291.34, 5,918.01 and 3,410.06

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Solution

The fourth proportional to 4,291.34, 5,918.01 and 3,410.06 is: 4,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.34 : 5,918.01 = 3,410.06 : x
  2. Step 2: Convert to fraction form
    4,291.34/5,918.01 = 3,410.06/x
  3. Step 3: Cross multiply
    4,291.34x = 5,918.01 × 3,410.06
  4. Step 4: Simplify right side
    4,291.34x = 20,180,769.18
  5. Step 5: Solve for x
    x = 20,180,769.18/4,291.34
  6. Step 6: Final answer
    x = 4,702.67

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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.