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Finding the Fourth Proportional to 4,707.06, 7,051.02 and 3,777.60

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Solution

The fourth proportional to 4,707.06, 7,051.02 and 3,777.60 is: 5,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.06 : 7,051.02 = 3,777.60 : x
  2. Step 2: Convert to fraction form
    4,707.06/7,051.02 = 3,777.60/x
  3. Step 3: Cross multiply
    4,707.06x = 7,051.02 × 3,777.60
  4. Step 4: Simplify right side
    4,707.06x = 26,635,933.15
  5. Step 5: Solve for x
    x = 26,635,933.15/4,707.06
  6. Step 6: Final answer
    x = 5,658.72

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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.