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Finding the Fourth Proportional to 3,646.04, 5,463.53 and 1,670.55

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Solution

The fourth proportional to 3,646.04, 5,463.53 and 1,670.55 is: 2,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.04 : 5,463.53 = 1,670.55 : x
  2. Step 2: Convert to fraction form
    3,646.04/5,463.53 = 1,670.55/x
  3. Step 3: Cross multiply
    3,646.04x = 5,463.53 × 1,670.55
  4. Step 4: Simplify right side
    3,646.04x = 9,127,091.69
  5. Step 5: Solve for x
    x = 9,127,091.69/3,646.04
  6. Step 6: Final answer
    x = 2,503.29

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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.