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Finding the Fourth Proportional to 4,838.94, 7,258.20 and 1,552.20

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Solution

The fourth proportional to 4,838.94, 7,258.20 and 1,552.20 is: 2,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.94 : 7,258.20 = 1,552.20 : x
  2. Step 2: Convert to fraction form
    4,838.94/7,258.20 = 1,552.20/x
  3. Step 3: Cross multiply
    4,838.94x = 7,258.20 × 1,552.20
  4. Step 4: Simplify right side
    4,838.94x = 11,266,178.04
  5. Step 5: Solve for x
    x = 11,266,178.04/4,838.94
  6. Step 6: Final answer
    x = 2,328.23

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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.