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Finding the Fourth Proportional to 4,590.40, 6,335.77 and 3,018.64

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Solution

The fourth proportional to 4,590.40, 6,335.77 and 3,018.64 is: 4,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.40 : 6,335.77 = 3,018.64 : x
  2. Step 2: Convert to fraction form
    4,590.40/6,335.77 = 3,018.64/x
  3. Step 3: Cross multiply
    4,590.40x = 6,335.77 × 3,018.64
  4. Step 4: Simplify right side
    4,590.40x = 19,125,408.75
  5. Step 5: Solve for x
    x = 19,125,408.75/4,590.40
  6. Step 6: Final answer
    x = 4,166.39

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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.