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Finding the Fourth Proportional to 3,595.84, 4,962.72 and 2,024.32

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Solution

The fourth proportional to 3,595.84, 4,962.72 and 2,024.32 is: 2,793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.84 : 4,962.72 = 2,024.32 : x
  2. Step 2: Convert to fraction form
    3,595.84/4,962.72 = 2,024.32/x
  3. Step 3: Cross multiply
    3,595.84x = 4,962.72 × 2,024.32
  4. Step 4: Simplify right side
    3,595.84x = 10,046,133.35
  5. Step 5: Solve for x
    x = 10,046,133.35/3,595.84
  6. Step 6: Final answer
    x = 2,793.82

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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.