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Finding the Fourth Proportional to 3,646.99, 5,472.29 and 1,566.40

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Solution

The fourth proportional to 3,646.99, 5,472.29 and 1,566.40 is: 2,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.99 : 5,472.29 = 1,566.40 : x
  2. Step 2: Convert to fraction form
    3,646.99/5,472.29 = 1,566.40/x
  3. Step 3: Cross multiply
    3,646.99x = 5,472.29 × 1,566.40
  4. Step 4: Simplify right side
    3,646.99x = 8,571,787.22
  5. Step 5: Solve for x
    x = 8,571,787.22/3,646.99
  6. Step 6: Final answer
    x = 2,350.37

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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.