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Finding the Fourth Proportional to 4,068.84, 6,102.78 and 3,203.40

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Solution

The fourth proportional to 4,068.84, 6,102.78 and 3,203.40 is: 4,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.84 : 6,102.78 = 3,203.40 : x
  2. Step 2: Convert to fraction form
    4,068.84/6,102.78 = 3,203.40/x
  3. Step 3: Cross multiply
    4,068.84x = 6,102.78 × 3,203.40
  4. Step 4: Simplify right side
    4,068.84x = 19,549,645.45
  5. Step 5: Solve for x
    x = 19,549,645.45/4,068.84
  6. Step 6: Final answer
    x = 4,804.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.