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Finding the Fourth Proportional to 3,646.93, 5,473.05 and 1,456.29

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Solution

The fourth proportional to 3,646.93, 5,473.05 and 1,456.29 is: 2,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.93 : 5,473.05 = 1,456.29 : x
  2. Step 2: Convert to fraction form
    3,646.93/5,473.05 = 1,456.29/x
  3. Step 3: Cross multiply
    3,646.93x = 5,473.05 × 1,456.29
  4. Step 4: Simplify right side
    3,646.93x = 7,970,347.98
  5. Step 5: Solve for x
    x = 7,970,347.98/3,646.93
  6. Step 6: Final answer
    x = 2,185.50

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1.5x scale

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.