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Finding the Fourth Proportional to 4,656.58, 6,426.08 and 2,560.70

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Solution

The fourth proportional to 4,656.58, 6,426.08 and 2,560.70 is: 3,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.58 : 6,426.08 = 2,560.70 : x
  2. Step 2: Convert to fraction form
    4,656.58/6,426.08 = 2,560.70/x
  3. Step 3: Cross multiply
    4,656.58x = 6,426.08 × 2,560.70
  4. Step 4: Simplify right side
    4,656.58x = 16,455,272.72
  5. Step 5: Solve for x
    x = 16,455,272.72/4,656.58
  6. Step 6: Final answer
    x = 3,533.77

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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.