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Finding the Fourth Proportional to 4,218.24, 6,326.88 and 1,140

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Solution

The fourth proportional to 4,218.24, 6,326.88 and 1,140 is: 1,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.24 : 6,326.88 = 1,140 : x
  2. Step 2: Convert to fraction form
    4,218.24/6,326.88 = 1,140/x
  3. Step 3: Cross multiply
    4,218.24x = 6,326.88 × 1,140
  4. Step 4: Simplify right side
    4,218.24x = 7,212,643.20
  5. Step 5: Solve for x
    x = 7,212,643.20/4,218.24
  6. Step 6: Final answer
    x = 1,709.87

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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.