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Finding the Fourth Proportional to 4,572.18, 6,858.84 and 1,609.93

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Solution

The fourth proportional to 4,572.18, 6,858.84 and 1,609.93 is: 2,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.18 : 6,858.84 = 1,609.93 : x
  2. Step 2: Convert to fraction form
    4,572.18/6,858.84 = 1,609.93/x
  3. Step 3: Cross multiply
    4,572.18x = 6,858.84 × 1,609.93
  4. Step 4: Simplify right side
    4,572.18x = 11,042,252.28
  5. Step 5: Solve for x
    x = 11,042,252.28/4,572.18
  6. Step 6: Final answer
    x = 2,415.10

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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.