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Finding the Fourth Proportional to 4,352.40, 6,004.68 and 3,411.84

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Solution

The fourth proportional to 4,352.40, 6,004.68 and 3,411.84 is: 4,707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.40 : 6,004.68 = 3,411.84 : x
  2. Step 2: Convert to fraction form
    4,352.40/6,004.68 = 3,411.84/x
  3. Step 3: Cross multiply
    4,352.40x = 6,004.68 × 3,411.84
  4. Step 4: Simplify right side
    4,352.40x = 20,487,007.41
  5. Step 5: Solve for x
    x = 20,487,007.41/4,352.40
  6. Step 6: Final answer
    x = 4,707.06

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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.