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Finding the Fourth Proportional to 4,406.40, 6,608.64 and 2,352

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Solution

The fourth proportional to 4,406.40, 6,608.64 and 2,352 is: 3,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.40 : 6,608.64 = 2,352 : x
  2. Step 2: Convert to fraction form
    4,406.40/6,608.64 = 2,352/x
  3. Step 3: Cross multiply
    4,406.40x = 6,608.64 × 2,352
  4. Step 4: Simplify right side
    4,406.40x = 15,543,521.28
  5. Step 5: Solve for x
    x = 15,543,521.28/4,406.40
  6. Step 6: Final answer
    x = 3,527.49

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Why These Related Problems?

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