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Finding the Fourth Proportional to 4,220.50, 5,824.29 and 2,357.50

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Solution

The fourth proportional to 4,220.50, 5,824.29 and 2,357.50 is: 3,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.50 : 5,824.29 = 2,357.50 : x
  2. Step 2: Convert to fraction form
    4,220.50/5,824.29 = 2,357.50/x
  3. Step 3: Cross multiply
    4,220.50x = 5,824.29 × 2,357.50
  4. Step 4: Simplify right side
    4,220.50x = 13,730,763.68
  5. Step 5: Solve for x
    x = 13,730,763.68/4,220.50
  6. Step 6: Final answer
    x = 3,253.35

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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.