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Finding the Fourth Proportional to 4,929.04, 6,804.57 and 3,138.34

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Solution

The fourth proportional to 4,929.04, 6,804.57 and 3,138.34 is: 4,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.04 : 6,804.57 = 3,138.34 : x
  2. Step 2: Convert to fraction form
    4,929.04/6,804.57 = 3,138.34/x
  3. Step 3: Cross multiply
    4,929.04x = 6,804.57 × 3,138.34
  4. Step 4: Simplify right side
    4,929.04x = 21,355,054.21
  5. Step 5: Solve for x
    x = 21,355,054.21/4,929.04
  6. Step 6: Final answer
    x = 4,332.50

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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.