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Finding the Fourth Proportional to 4,482.41, 6,723.62 and 2,016.77

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Solution

The fourth proportional to 4,482.41, 6,723.62 and 2,016.77 is: 3,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.41 : 6,723.62 = 2,016.77 : x
  2. Step 2: Convert to fraction form
    4,482.41/6,723.62 = 2,016.77/x
  3. Step 3: Cross multiply
    4,482.41x = 6,723.62 × 2,016.77
  4. Step 4: Simplify right side
    4,482.41x = 13,559,985.02
  5. Step 5: Solve for x
    x = 13,559,985.02/4,482.41
  6. Step 6: Final answer
    x = 3,025.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.