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Finding the Fourth Proportional to 4,584.57, 6,323.43 and 4,207.67

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Solution

The fourth proportional to 4,584.57, 6,323.43 and 4,207.67 is: 5,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.57 : 6,323.43 = 4,207.67 : x
  2. Step 2: Convert to fraction form
    4,584.57/6,323.43 = 4,207.67/x
  3. Step 3: Cross multiply
    4,584.57x = 6,323.43 × 4,207.67
  4. Step 4: Simplify right side
    4,584.57x = 26,606,875.09
  5. Step 5: Solve for x
    x = 26,606,875.09/4,584.57
  6. Step 6: Final answer
    x = 5,803.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.