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Finding the Fourth Proportional to 4,223.14, 5,827.92 and 2,430.74

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Solution

The fourth proportional to 4,223.14, 5,827.92 and 2,430.74 is: 3,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.14 : 5,827.92 = 2,430.74 : x
  2. Step 2: Convert to fraction form
    4,223.14/5,827.92 = 2,430.74/x
  3. Step 3: Cross multiply
    4,223.14x = 5,827.92 × 2,430.74
  4. Step 4: Simplify right side
    4,223.14x = 14,166,158.26
  5. Step 5: Solve for x
    x = 14,166,158.26/4,223.14
  6. Step 6: Final answer
    x = 3,354.41

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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.