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Finding the Fourth Proportional to 3,597.77, 5,397.51 and 1,405.91

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Solution

The fourth proportional to 3,597.77, 5,397.51 and 1,405.91 is: 2,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.77 : 5,397.51 = 1,405.91 : x
  2. Step 2: Convert to fraction form
    3,597.77/5,397.51 = 1,405.91/x
  3. Step 3: Cross multiply
    3,597.77x = 5,397.51 × 1,405.91
  4. Step 4: Simplify right side
    3,597.77x = 7,588,413.28
  5. Step 5: Solve for x
    x = 7,588,413.28/3,597.77
  6. Step 6: Final answer
    x = 2,109.20

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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.