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Finding the Fourth Proportional to 4,288.79, 6,430.35 and 2,823.50

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Solution

The fourth proportional to 4,288.79, 6,430.35 and 2,823.50 is: 4,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.79 : 6,430.35 = 2,823.50 : x
  2. Step 2: Convert to fraction form
    4,288.79/6,430.35 = 2,823.50/x
  3. Step 3: Cross multiply
    4,288.79x = 6,430.35 × 2,823.50
  4. Step 4: Simplify right side
    4,288.79x = 18,156,093.23
  5. Step 5: Solve for x
    x = 18,156,093.23/4,288.79
  6. Step 6: Final answer
    x = 4,233.38

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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.