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Finding the Fourth Proportional to 4,548.64, 6,276.56 and 2,660.32

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Solution

The fourth proportional to 4,548.64, 6,276.56 and 2,660.32 is: 3,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.64 : 6,276.56 = 2,660.32 : x
  2. Step 2: Convert to fraction form
    4,548.64/6,276.56 = 2,660.32/x
  3. Step 3: Cross multiply
    4,548.64x = 6,276.56 × 2,660.32
  4. Step 4: Simplify right side
    4,548.64x = 16,697,658.10
  5. Step 5: Solve for x
    x = 16,697,658.10/4,548.64
  6. Step 6: Final answer
    x = 3,670.91

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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.