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Finding the Fourth Proportional to 3,527.02, 4,867.02 and 1,955.08

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Solution

The fourth proportional to 3,527.02, 4,867.02 and 1,955.08 is: 2,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.02 : 4,867.02 = 1,955.08 : x
  2. Step 2: Convert to fraction form
    3,527.02/4,867.02 = 1,955.08/x
  3. Step 3: Cross multiply
    3,527.02x = 4,867.02 × 1,955.08
  4. Step 4: Simplify right side
    3,527.02x = 9,515,413.46
  5. Step 5: Solve for x
    x = 9,515,413.46/3,527.02
  6. Step 6: Final answer
    x = 2,697.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.