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Finding the Fourth Proportional to 4,626, 6,939 and 1,548.08

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Solution

The fourth proportional to 4,626, 6,939 and 1,548.08 is: 2,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626 : 6,939 = 1,548.08 : x
  2. Step 2: Convert to fraction form
    4,626/6,939 = 1,548.08/x
  3. Step 3: Cross multiply
    4,626x = 6,939 × 1,548.08
  4. Step 4: Simplify right side
    4,626x = 10,742,127.12
  5. Step 5: Solve for x
    x = 10,742,127.12/4,626
  6. Step 6: Final answer
    x = 2,322.12

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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.