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Finding the Fourth Proportional to 6,004.80, 8,276.64 and 4,737.60

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Solution

The fourth proportional to 6,004.80, 8,276.64 and 4,737.60 is: 6,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.80 : 8,276.64 = 4,737.60 : x
  2. Step 2: Convert to fraction form
    6,004.80/8,276.64 = 4,737.60/x
  3. Step 3: Cross multiply
    6,004.80x = 8,276.64 × 4,737.60
  4. Step 4: Simplify right side
    6,004.80x = 39,211,409.66
  5. Step 5: Solve for x
    x = 39,211,409.66/6,004.80
  6. Step 6: Final answer
    x = 6,530.01

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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.