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Finding the Fourth Proportional to 5,152.64, 7,724.82 and 4,742.54

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Solution

The fourth proportional to 5,152.64, 7,724.82 and 4,742.54 is: 7,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.64 : 7,724.82 = 4,742.54 : x
  2. Step 2: Convert to fraction form
    5,152.64/7,724.82 = 4,742.54/x
  3. Step 3: Cross multiply
    5,152.64x = 7,724.82 × 4,742.54
  4. Step 4: Simplify right side
    5,152.64x = 36,635,267.84
  5. Step 5: Solve for x
    x = 36,635,267.84/5,152.64
  6. Step 6: Final answer
    x = 7,110.00

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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.