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Finding the Fourth Proportional to 4,322.40, 6,483.44 and 1,400.63

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Solution

The fourth proportional to 4,322.40, 6,483.44 and 1,400.63 is: 2,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.40 : 6,483.44 = 1,400.63 : x
  2. Step 2: Convert to fraction form
    4,322.40/6,483.44 = 1,400.63/x
  3. Step 3: Cross multiply
    4,322.40x = 6,483.44 × 1,400.63
  4. Step 4: Simplify right side
    4,322.40x = 9,080,871.65
  5. Step 5: Solve for x
    x = 9,080,871.65/4,322.40
  6. Step 6: Final answer
    x = 2,100.89

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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.