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Finding the Fourth Proportional to 5,590.32, 7,714.56 and 3,232.68

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Solution

The fourth proportional to 5,590.32, 7,714.56 and 3,232.68 is: 4,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.32 : 7,714.56 = 3,232.68 : x
  2. Step 2: Convert to fraction form
    5,590.32/7,714.56 = 3,232.68/x
  3. Step 3: Cross multiply
    5,590.32x = 7,714.56 × 3,232.68
  4. Step 4: Simplify right side
    5,590.32x = 24,938,703.82
  5. Step 5: Solve for x
    x = 24,938,703.82/5,590.32
  6. Step 6: Final answer
    x = 4,461.05

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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.