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Finding the Fourth Proportional to 4,288, 6,432 and 1,210.08

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Solution

The fourth proportional to 4,288, 6,432 and 1,210.08 is: 1,815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288 : 6,432 = 1,210.08 : x
  2. Step 2: Convert to fraction form
    4,288/6,432 = 1,210.08/x
  3. Step 3: Cross multiply
    4,288x = 6,432 × 1,210.08
  4. Step 4: Simplify right side
    4,288x = 7,783,234.56
  5. Step 5: Solve for x
    x = 7,783,234.56/4,288
  6. Step 6: Final answer
    x = 1,815.12

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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.