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Finding the Fourth Proportional to 6,004.77, 8,292.30 and 5,677.53

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Solution

The fourth proportional to 6,004.77, 8,292.30 and 5,677.53 is: 7,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.77 : 8,292.30 = 5,677.53 : x
  2. Step 2: Convert to fraction form
    6,004.77/8,292.30 = 5,677.53/x
  3. Step 3: Cross multiply
    6,004.77x = 8,292.30 × 5,677.53
  4. Step 4: Simplify right side
    6,004.77x = 47,079,782.02
  5. Step 5: Solve for x
    x = 47,079,782.02/6,004.77
  6. Step 6: Final answer
    x = 7,840.40

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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.