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Finding the Fourth Proportional to 6,430.74, 8,870.73 and 3,777.66

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Solution

The fourth proportional to 6,430.74, 8,870.73 and 3,777.66 is: 5,211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.74 : 8,870.73 = 3,777.66 : x
  2. Step 2: Convert to fraction form
    6,430.74/8,870.73 = 3,777.66/x
  3. Step 3: Cross multiply
    6,430.74x = 8,870.73 × 3,777.66
  4. Step 4: Simplify right side
    6,430.74x = 33,510,601.89
  5. Step 5: Solve for x
    x = 33,510,601.89/6,430.74
  6. Step 6: Final answer
    x = 5,211.00

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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.