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Finding the Fourth Proportional to 3,595.80, 4,962.44 and 2,024.00

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Solution

The fourth proportional to 3,595.80, 4,962.44 and 2,024.00 is: 2,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.80 : 4,962.44 = 2,024.00 : x
  2. Step 2: Convert to fraction form
    3,595.80/4,962.44 = 2,024.00/x
  3. Step 3: Cross multiply
    3,595.80x = 4,962.44 × 2,024.00
  4. Step 4: Simplify right side
    3,595.80x = 10,043,943.63
  5. Step 5: Solve for x
    x = 10,043,943.63/3,595.80
  6. Step 6: Final answer
    x = 2,793.24

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