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Finding the Fourth Proportional to 5,714.82, 7,886.16 and 3,356.10

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Solution

The fourth proportional to 5,714.82, 7,886.16 and 3,356.10 is: 4,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.82 : 7,886.16 = 3,356.10 : x
  2. Step 2: Convert to fraction form
    5,714.82/7,886.16 = 3,356.10/x
  3. Step 3: Cross multiply
    5,714.82x = 7,886.16 × 3,356.10
  4. Step 4: Simplify right side
    5,714.82x = 26,466,741.58
  5. Step 5: Solve for x
    x = 26,466,741.58/5,714.82
  6. Step 6: Final answer
    x = 4,631.25

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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.