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Finding the Fourth Proportional to 4,292.18, 6,436.65 and 1,828.16

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Solution

The fourth proportional to 4,292.18, 6,436.65 and 1,828.16 is: 2,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.18 : 6,436.65 = 1,828.16 : x
  2. Step 2: Convert to fraction form
    4,292.18/6,436.65 = 1,828.16/x
  3. Step 3: Cross multiply
    4,292.18x = 6,436.65 × 1,828.16
  4. Step 4: Simplify right side
    4,292.18x = 11,767,226.06
  5. Step 5: Solve for x
    x = 11,767,226.06/4,292.18
  6. Step 6: Final answer
    x = 2,741.55

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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.