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Finding the Fourth Proportional to 4,237.84, 5,835 and 3,489.40

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Solution

The fourth proportional to 4,237.84, 5,835 and 3,489.40 is: 4,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.84 : 5,835 = 3,489.40 : x
  2. Step 2: Convert to fraction form
    4,237.84/5,835 = 3,489.40/x
  3. Step 3: Cross multiply
    4,237.84x = 5,835 × 3,489.40
  4. Step 4: Simplify right side
    4,237.84x = 20,360,649
  5. Step 5: Solve for x
    x = 20,360,649/4,237.84
  6. Step 6: Final answer
    x = 4,804.49

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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.