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Finding the Fourth Proportional to 5,714.58, 7,885.71 and 3,356.40

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Solution

The fourth proportional to 5,714.58, 7,885.71 and 3,356.40 is: 4,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.58 : 7,885.71 = 3,356.40 : x
  2. Step 2: Convert to fraction form
    5,714.58/7,885.71 = 3,356.40/x
  3. Step 3: Cross multiply
    5,714.58x = 7,885.71 × 3,356.40
  4. Step 4: Simplify right side
    5,714.58x = 26,467,597.04
  5. Step 5: Solve for x
    x = 26,467,597.04/5,714.58
  6. Step 6: Final answer
    x = 4,631.59

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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.