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Finding the Fourth Proportional to 3,621.02, 5,429.64 and 1,671.50

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Solution

The fourth proportional to 3,621.02, 5,429.64 and 1,671.50 is: 2,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621.02 : 5,429.64 = 1,671.50 : x
  2. Step 2: Convert to fraction form
    3,621.02/5,429.64 = 1,671.50/x
  3. Step 3: Cross multiply
    3,621.02x = 5,429.64 × 1,671.50
  4. Step 4: Simplify right side
    3,621.02x = 9,075,643.26
  5. Step 5: Solve for x
    x = 9,075,643.26/3,621.02
  6. Step 6: Final answer
    x = 2,506.38

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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.