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Finding the Fourth Proportional to 4,739.94, 7,097.49 and 3,345.72

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Solution

The fourth proportional to 4,739.94, 7,097.49 and 3,345.72 is: 5,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.94 : 7,097.49 = 3,345.72 : x
  2. Step 2: Convert to fraction form
    4,739.94/7,097.49 = 3,345.72/x
  3. Step 3: Cross multiply
    4,739.94x = 7,097.49 × 3,345.72
  4. Step 4: Simplify right side
    4,739.94x = 23,746,214.24
  5. Step 5: Solve for x
    x = 23,746,214.24/4,739.94
  6. Step 6: Final answer
    x = 5,009.81

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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.