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Finding the Fourth Proportional to 4,285.68, 6,430.12 and 1,945.52

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Solution

The fourth proportional to 4,285.68, 6,430.12 and 1,945.52 is: 2,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.68 : 6,430.12 = 1,945.52 : x
  2. Step 2: Convert to fraction form
    4,285.68/6,430.12 = 1,945.52/x
  3. Step 3: Cross multiply
    4,285.68x = 6,430.12 × 1,945.52
  4. Step 4: Simplify right side
    4,285.68x = 12,509,927.06
  5. Step 5: Solve for x
    x = 12,509,927.06/4,285.68
  6. Step 6: Final answer
    x = 2,919.01

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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.