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Finding the Fourth Proportional to 4,873.42, 7,309.14 and 1,752.94

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Solution

The fourth proportional to 4,873.42, 7,309.14 and 1,752.94 is: 2,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.42 : 7,309.14 = 1,752.94 : x
  2. Step 2: Convert to fraction form
    4,873.42/7,309.14 = 1,752.94/x
  3. Step 3: Cross multiply
    4,873.42x = 7,309.14 × 1,752.94
  4. Step 4: Simplify right side
    4,873.42x = 12,812,483.87
  5. Step 5: Solve for x
    x = 12,812,483.87/4,873.42
  6. Step 6: Final answer
    x = 2,629.05

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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.