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Finding the Fourth Proportional to 4,290.52, 6,437.58 and 1,825.87

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Solution

The fourth proportional to 4,290.52, 6,437.58 and 1,825.87 is: 2,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.52 : 6,437.58 = 1,825.87 : x
  2. Step 2: Convert to fraction form
    4,290.52/6,437.58 = 1,825.87/x
  3. Step 3: Cross multiply
    4,290.52x = 6,437.58 × 1,825.87
  4. Step 4: Simplify right side
    4,290.52x = 11,754,184.19
  5. Step 5: Solve for x
    x = 11,754,184.19/4,290.52
  6. Step 6: Final answer
    x = 2,739.57

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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.