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Finding the Fourth Proportional to 4,653.64, 6,422.04 and 2,557.80

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Solution

The fourth proportional to 4,653.64, 6,422.04 and 2,557.80 is: 3,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.64 : 6,422.04 = 2,557.80 : x
  2. Step 2: Convert to fraction form
    4,653.64/6,422.04 = 2,557.80/x
  3. Step 3: Cross multiply
    4,653.64x = 6,422.04 × 2,557.80
  4. Step 4: Simplify right side
    4,653.64x = 16,426,293.91
  5. Step 5: Solve for x
    x = 16,426,293.91/4,653.64
  6. Step 6: Final answer
    x = 3,529.77

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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.