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Finding the Fourth Proportional to 4,735.56, 7,102.18 and 2,101.60

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Solution

The fourth proportional to 4,735.56, 7,102.18 and 2,101.60 is: 3,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.56 : 7,102.18 = 2,101.60 : x
  2. Step 2: Convert to fraction form
    4,735.56/7,102.18 = 2,101.60/x
  3. Step 3: Cross multiply
    4,735.56x = 7,102.18 × 2,101.60
  4. Step 4: Simplify right side
    4,735.56x = 14,925,941.49
  5. Step 5: Solve for x
    x = 14,925,941.49/4,735.56
  6. Step 6: Final answer
    x = 3,151.89

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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.