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Finding the Fourth Proportional to 5,732.16, 8,598.40 and 1,628.16

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Solution

The fourth proportional to 5,732.16, 8,598.40 and 1,628.16 is: 2,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.16 : 8,598.40 = 1,628.16 : x
  2. Step 2: Convert to fraction form
    5,732.16/8,598.40 = 1,628.16/x
  3. Step 3: Cross multiply
    5,732.16x = 8,598.40 × 1,628.16
  4. Step 4: Simplify right side
    5,732.16x = 13,999,570.94
  5. Step 5: Solve for x
    x = 13,999,570.94/5,732.16
  6. Step 6: Final answer
    x = 2,442.29

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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.