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Finding the Fourth Proportional to 4,920.24, 6,788.16 and 3,152.64

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Solution

The fourth proportional to 4,920.24, 6,788.16 and 3,152.64 is: 4,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.24 : 6,788.16 = 3,152.64 : x
  2. Step 2: Convert to fraction form
    4,920.24/6,788.16 = 3,152.64/x
  3. Step 3: Cross multiply
    4,920.24x = 6,788.16 × 3,152.64
  4. Step 4: Simplify right side
    4,920.24x = 21,400,624.74
  5. Step 5: Solve for x
    x = 21,400,624.74/4,920.24
  6. Step 6: Final answer
    x = 4,349.51

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