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Finding the Fourth Proportional to 5,776.44, 7,968.52 and 3,417.72

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Solution

The fourth proportional to 5,776.44, 7,968.52 and 3,417.72 is: 4,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.44 : 7,968.52 = 3,417.72 : x
  2. Step 2: Convert to fraction form
    5,776.44/7,968.52 = 3,417.72/x
  3. Step 3: Cross multiply
    5,776.44x = 7,968.52 × 3,417.72
  4. Step 4: Simplify right side
    5,776.44x = 27,234,170.17
  5. Step 5: Solve for x
    x = 27,234,170.17/5,776.44
  6. Step 6: Final answer
    x = 4,714.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.