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Finding the Fourth Proportional to 5,300.64, 7,951.04 and 1,405.60

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Solution

The fourth proportional to 5,300.64, 7,951.04 and 1,405.60 is: 2,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.64 : 7,951.04 = 1,405.60 : x
  2. Step 2: Convert to fraction form
    5,300.64/7,951.04 = 1,405.60/x
  3. Step 3: Cross multiply
    5,300.64x = 7,951.04 × 1,405.60
  4. Step 4: Simplify right side
    5,300.64x = 11,175,981.82
  5. Step 5: Solve for x
    x = 11,175,981.82/5,300.64
  6. Step 6: Final answer
    x = 2,108.42

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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.