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Finding the Fourth Proportional to 4,784.25, 7,176.65 and 1,706.25

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Solution

The fourth proportional to 4,784.25, 7,176.65 and 1,706.25 is: 2,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.25 : 7,176.65 = 1,706.25 : x
  2. Step 2: Convert to fraction form
    4,784.25/7,176.65 = 1,706.25/x
  3. Step 3: Cross multiply
    4,784.25x = 7,176.65 × 1,706.25
  4. Step 4: Simplify right side
    4,784.25x = 12,245,159.06
  5. Step 5: Solve for x
    x = 12,245,159.06/4,784.25
  6. Step 6: Final answer
    x = 2,559.47

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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.