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Finding the Fourth Proportional to 4,572.32, 6,858.48 and 1,109.57

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Solution

The fourth proportional to 4,572.32, 6,858.48 and 1,109.57 is: 1,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.32 : 6,858.48 = 1,109.57 : x
  2. Step 2: Convert to fraction form
    4,572.32/6,858.48 = 1,109.57/x
  3. Step 3: Cross multiply
    4,572.32x = 6,858.48 × 1,109.57
  4. Step 4: Simplify right side
    4,572.32x = 7,609,963.65
  5. Step 5: Solve for x
    x = 7,609,963.65/4,572.32
  6. Step 6: Final answer
    x = 1,664.36

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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.