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Finding the Fourth Proportional to 2,938.93, 4,054.55 and 2,565.92

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Solution

The fourth proportional to 2,938.93, 4,054.55 and 2,565.92 is: 3,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.93 : 4,054.55 = 2,565.92 : x
  2. Step 2: Convert to fraction form
    2,938.93/4,054.55 = 2,565.92/x
  3. Step 3: Cross multiply
    2,938.93x = 4,054.55 × 2,565.92
  4. Step 4: Simplify right side
    2,938.93x = 10,403,648.24
  5. Step 5: Solve for x
    x = 10,403,648.24/2,938.93
  6. Step 6: Final answer
    x = 3,539.95

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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.