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Finding the Fourth Proportional to 4,656.56, 6,426 and 2,560.76

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Solution

The fourth proportional to 4,656.56, 6,426 and 2,560.76 is: 3,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.56 : 6,426 = 2,560.76 : x
  2. Step 2: Convert to fraction form
    4,656.56/6,426 = 2,560.76/x
  3. Step 3: Cross multiply
    4,656.56x = 6,426 × 2,560.76
  4. Step 4: Simplify right side
    4,656.56x = 16,455,443.76
  5. Step 5: Solve for x
    x = 16,455,443.76/4,656.56
  6. Step 6: Final answer
    x = 3,533.82

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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.