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Finding the Fourth Proportional to 5,349.58, 7,382 and 3,225.22

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Solution

The fourth proportional to 5,349.58, 7,382 and 3,225.22 is: 4,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.58 : 7,382 = 3,225.22 : x
  2. Step 2: Convert to fraction form
    5,349.58/7,382 = 3,225.22/x
  3. Step 3: Cross multiply
    5,349.58x = 7,382 × 3,225.22
  4. Step 4: Simplify right side
    5,349.58x = 23,808,574.04
  5. Step 5: Solve for x
    x = 23,808,574.04/5,349.58
  6. Step 6: Final answer
    x = 4,450.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.