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Finding the Fourth Proportional to 5,573.35, 8,360 and 1,413.34

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Solution

The fourth proportional to 5,573.35, 8,360 and 1,413.34 is: 2,120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.35 : 8,360 = 1,413.34 : x
  2. Step 2: Convert to fraction form
    5,573.35/8,360 = 1,413.34/x
  3. Step 3: Cross multiply
    5,573.35x = 8,360 × 1,413.34
  4. Step 4: Simplify right side
    5,573.35x = 11,815,522.40
  5. Step 5: Solve for x
    x = 11,815,522.40/5,573.35
  6. Step 6: Final answer
    x = 2,120.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.