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Finding the Fourth Proportional to 4,671.63, 7,004.97 and 1,384.25

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Solution

The fourth proportional to 4,671.63, 7,004.97 and 1,384.25 is: 2,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.63 : 7,004.97 = 1,384.25 : x
  2. Step 2: Convert to fraction form
    4,671.63/7,004.97 = 1,384.25/x
  3. Step 3: Cross multiply
    4,671.63x = 7,004.97 × 1,384.25
  4. Step 4: Simplify right side
    4,671.63x = 9,696,629.72
  5. Step 5: Solve for x
    x = 9,696,629.72/4,671.63
  6. Step 6: Final answer
    x = 2,075.64

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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.