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Finding the Fourth Proportional to 3,671.04, 5,507 and 1,205.27

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Solution

The fourth proportional to 3,671.04, 5,507 and 1,205.27 is: 1,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.04 : 5,507 = 1,205.27 : x
  2. Step 2: Convert to fraction form
    3,671.04/5,507 = 1,205.27/x
  3. Step 3: Cross multiply
    3,671.04x = 5,507 × 1,205.27
  4. Step 4: Simplify right side
    3,671.04x = 6,637,421.89
  5. Step 5: Solve for x
    x = 6,637,421.89/3,671.04
  6. Step 6: Final answer
    x = 1,808.05

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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.