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Finding the Fourth Proportional to 4,729.40, 7,083.16 and 4,565.37

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Solution

The fourth proportional to 4,729.40, 7,083.16 and 4,565.37 is: 6,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.40 : 7,083.16 = 4,565.37 : x
  2. Step 2: Convert to fraction form
    4,729.40/7,083.16 = 4,565.37/x
  3. Step 3: Cross multiply
    4,729.40x = 7,083.16 × 4,565.37
  4. Step 4: Simplify right side
    4,729.40x = 32,337,261.32
  5. Step 5: Solve for x
    x = 32,337,261.32/4,729.40
  6. Step 6: Final answer
    x = 6,837.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.