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Finding the Fourth Proportional to 4,671.94, 7,009.41 and 1,385.06

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Solution

The fourth proportional to 4,671.94, 7,009.41 and 1,385.06 is: 2,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.94 : 7,009.41 = 1,385.06 : x
  2. Step 2: Convert to fraction form
    4,671.94/7,009.41 = 1,385.06/x
  3. Step 3: Cross multiply
    4,671.94x = 7,009.41 × 1,385.06
  4. Step 4: Simplify right side
    4,671.94x = 9,708,453.41
  5. Step 5: Solve for x
    x = 9,708,453.41/4,671.94
  6. Step 6: Final answer
    x = 2,078.03

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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.