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Finding the Fourth Proportional to 5,774.08, 7,968 and 3,416.16

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Solution

The fourth proportional to 5,774.08, 7,968 and 3,416.16 is: 4,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.08 : 7,968 = 3,416.16 : x
  2. Step 2: Convert to fraction form
    5,774.08/7,968 = 3,416.16/x
  3. Step 3: Cross multiply
    5,774.08x = 7,968 × 3,416.16
  4. Step 4: Simplify right side
    5,774.08x = 27,219,962.88
  5. Step 5: Solve for x
    x = 27,219,962.88/5,774.08
  6. Step 6: Final answer
    x = 4,714.16

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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.