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Finding the Fourth Proportional to 4,322.80, 6,482.56 and 1,400.32

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Solution

The fourth proportional to 4,322.80, 6,482.56 and 1,400.32 is: 2,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.80 : 6,482.56 = 1,400.32 : x
  2. Step 2: Convert to fraction form
    4,322.80/6,482.56 = 1,400.32/x
  3. Step 3: Cross multiply
    4,322.80x = 6,482.56 × 1,400.32
  4. Step 4: Simplify right side
    4,322.80x = 9,077,619.00
  5. Step 5: Solve for x
    x = 9,077,619.00/4,322.80
  6. Step 6: Final answer
    x = 2,099.94

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