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Finding the Fourth Proportional to 5,356.90, 8,032.47 and 1,657.54

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Solution

The fourth proportional to 5,356.90, 8,032.47 and 1,657.54 is: 2,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.90 : 8,032.47 = 1,657.54 : x
  2. Step 2: Convert to fraction form
    5,356.90/8,032.47 = 1,657.54/x
  3. Step 3: Cross multiply
    5,356.90x = 8,032.47 × 1,657.54
  4. Step 4: Simplify right side
    5,356.90x = 13,314,140.32
  5. Step 5: Solve for x
    x = 13,314,140.32/5,356.90
  6. Step 6: Final answer
    x = 2,485.42

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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.