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Finding the Fourth Proportional to 5,443.92, 7,496.16 and 4,656.24

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Solution

The fourth proportional to 5,443.92, 7,496.16 and 4,656.24 is: 6,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.92 : 7,496.16 = 4,656.24 : x
  2. Step 2: Convert to fraction form
    5,443.92/7,496.16 = 4,656.24/x
  3. Step 3: Cross multiply
    5,443.92x = 7,496.16 × 4,656.24
  4. Step 4: Simplify right side
    5,443.92x = 34,903,920.04
  5. Step 5: Solve for x
    x = 34,903,920.04/5,443.92
  6. Step 6: Final answer
    x = 6,411.54

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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.