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Finding the Fourth Proportional to 5,714.15, 7,884.05 and 3,590.01

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Solution

The fourth proportional to 5,714.15, 7,884.05 and 3,590.01 is: 4,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.15 : 7,884.05 = 3,590.01 : x
  2. Step 2: Convert to fraction form
    5,714.15/7,884.05 = 3,590.01/x
  3. Step 3: Cross multiply
    5,714.15x = 7,884.05 × 3,590.01
  4. Step 4: Simplify right side
    5,714.15x = 28,303,800.39
  5. Step 5: Solve for x
    x = 28,303,800.39/5,714.15
  6. Step 6: Final answer
    x = 4,953.29

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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.