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Finding the Fourth Proportional to 3,561.30, 5,341.95 and 964.17

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Solution

The fourth proportional to 3,561.30, 5,341.95 and 964.17 is: 1,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.30 : 5,341.95 = 964.17 : x
  2. Step 2: Convert to fraction form
    3,561.30/5,341.95 = 964.17/x
  3. Step 3: Cross multiply
    3,561.30x = 5,341.95 × 964.17
  4. Step 4: Simplify right side
    3,561.30x = 5,150,547.93
  5. Step 5: Solve for x
    x = 5,150,547.93/3,561.30
  6. Step 6: Final answer
    x = 1,446.26

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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.