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Finding the Fourth Proportional to 4,706.64, 7,055.52 and 1,784.88

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Solution

The fourth proportional to 4,706.64, 7,055.52 and 1,784.88 is: 2,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.64 : 7,055.52 = 1,784.88 : x
  2. Step 2: Convert to fraction form
    4,706.64/7,055.52 = 1,784.88/x
  3. Step 3: Cross multiply
    4,706.64x = 7,055.52 × 1,784.88
  4. Step 4: Simplify right side
    4,706.64x = 12,593,256.54
  5. Step 5: Solve for x
    x = 12,593,256.54/4,706.64
  6. Step 6: Final answer
    x = 2,675.64

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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.