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Finding the Fourth Proportional to 3,577.95, 4,936.95 and 2,085.93

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Solution

The fourth proportional to 3,577.95, 4,936.95 and 2,085.93 is: 2,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.95 : 4,936.95 = 2,085.93 : x
  2. Step 2: Convert to fraction form
    3,577.95/4,936.95 = 2,085.93/x
  3. Step 3: Cross multiply
    3,577.95x = 4,936.95 × 2,085.93
  4. Step 4: Simplify right side
    3,577.95x = 10,298,132.11
  5. Step 5: Solve for x
    x = 10,298,132.11/3,577.95
  6. Step 6: Final answer
    x = 2,878.22

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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.