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Finding the Fourth Proportional to 3,646.99, 5,465.23 and 1,566.45

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Solution

The fourth proportional to 3,646.99, 5,465.23 and 1,566.45 is: 2,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.99 : 5,465.23 = 1,566.45 : x
  2. Step 2: Convert to fraction form
    3,646.99/5,465.23 = 1,566.45/x
  3. Step 3: Cross multiply
    3,646.99x = 5,465.23 × 1,566.45
  4. Step 4: Simplify right side
    3,646.99x = 8,561,009.53
  5. Step 5: Solve for x
    x = 8,561,009.53/3,646.99
  6. Step 6: Final answer
    x = 2,347.42

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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.