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Finding the Fourth Proportional to 3,573.60, 5,360.64 and 1,264.48

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Solution

The fourth proportional to 3,573.60, 5,360.64 and 1,264.48 is: 1,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.60 : 5,360.64 = 1,264.48 : x
  2. Step 2: Convert to fraction form
    3,573.60/5,360.64 = 1,264.48/x
  3. Step 3: Cross multiply
    3,573.60x = 5,360.64 × 1,264.48
  4. Step 4: Simplify right side
    3,573.60x = 6,778,422.07
  5. Step 5: Solve for x
    x = 6,778,422.07/3,573.60
  6. Step 6: Final answer
    x = 1,896.80

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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.