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Finding the Fourth Proportional to 4,929.32, 7,389 and 4,054.52

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Solution

The fourth proportional to 4,929.32, 7,389 and 4,054.52 is: 6,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.32 : 7,389 = 4,054.52 : x
  2. Step 2: Convert to fraction form
    4,929.32/7,389 = 4,054.52/x
  3. Step 3: Cross multiply
    4,929.32x = 7,389 × 4,054.52
  4. Step 4: Simplify right side
    4,929.32x = 29,958,848.28
  5. Step 5: Solve for x
    x = 29,958,848.28/4,929.32
  6. Step 6: Final answer
    x = 6,077.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.