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Finding the Fourth Proportional to 5,482.63, 7,565.86 and 3,093.33

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Solution

The fourth proportional to 5,482.63, 7,565.86 and 3,093.33 is: 4,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.63 : 7,565.86 = 3,093.33 : x
  2. Step 2: Convert to fraction form
    5,482.63/7,565.86 = 3,093.33/x
  3. Step 3: Cross multiply
    5,482.63x = 7,565.86 × 3,093.33
  4. Step 4: Simplify right side
    5,482.63x = 23,403,701.71
  5. Step 5: Solve for x
    x = 23,403,701.71/5,482.63
  6. Step 6: Final answer
    x = 4,268.70

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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.