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Finding the Fourth Proportional to 4,336.40, 6,509.07 and 2,671.72

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Solution

The fourth proportional to 4,336.40, 6,509.07 and 2,671.72 is: 4,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.40 : 6,509.07 = 2,671.72 : x
  2. Step 2: Convert to fraction form
    4,336.40/6,509.07 = 2,671.72/x
  3. Step 3: Cross multiply
    4,336.40x = 6,509.07 × 2,671.72
  4. Step 4: Simplify right side
    4,336.40x = 17,390,396.23
  5. Step 5: Solve for x
    x = 17,390,396.23/4,336.40
  6. Step 6: Final answer
    x = 4,010.33

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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.