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Finding the Fourth Proportional to 4,648.54, 6,973.66 and 1,528.72

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Solution

The fourth proportional to 4,648.54, 6,973.66 and 1,528.72 is: 2,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.54 : 6,973.66 = 1,528.72 : x
  2. Step 2: Convert to fraction form
    4,648.54/6,973.66 = 1,528.72/x
  3. Step 3: Cross multiply
    4,648.54x = 6,973.66 × 1,528.72
  4. Step 4: Simplify right side
    4,648.54x = 10,660,738.65
  5. Step 5: Solve for x
    x = 10,660,738.65/4,648.54
  6. Step 6: Final answer
    x = 2,293.35

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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.