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Finding the Fourth Proportional to 4,656.60, 6,426.03 and 2,560.71

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Solution

The fourth proportional to 4,656.60, 6,426.03 and 2,560.71 is: 3,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.60 : 6,426.03 = 2,560.71 : x
  2. Step 2: Convert to fraction form
    4,656.60/6,426.03 = 2,560.71/x
  3. Step 3: Cross multiply
    4,656.60x = 6,426.03 × 2,560.71
  4. Step 4: Simplify right side
    4,656.60x = 16,455,199.28
  5. Step 5: Solve for x
    x = 16,455,199.28/4,656.60
  6. Step 6: Final answer
    x = 3,533.74

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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.