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Finding the Fourth Proportional to 4,973.09, 7,460.01 and 2,052.05

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Solution

The fourth proportional to 4,973.09, 7,460.01 and 2,052.05 is: 3,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.09 : 7,460.01 = 2,052.05 : x
  2. Step 2: Convert to fraction form
    4,973.09/7,460.01 = 2,052.05/x
  3. Step 3: Cross multiply
    4,973.09x = 7,460.01 × 2,052.05
  4. Step 4: Simplify right side
    4,973.09x = 15,308,276.22
  5. Step 5: Solve for x
    x = 15,308,276.22/4,973.09
  6. Step 6: Final answer
    x = 3,078.23

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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.