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Finding the Fourth Proportional to 4,782.85, 7,177.07 and 2,009.32

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Solution

The fourth proportional to 4,782.85, 7,177.07 and 2,009.32 is: 3,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.85 : 7,177.07 = 2,009.32 : x
  2. Step 2: Convert to fraction form
    4,782.85/7,177.07 = 2,009.32/x
  3. Step 3: Cross multiply
    4,782.85x = 7,177.07 × 2,009.32
  4. Step 4: Simplify right side
    4,782.85x = 14,421,030.29
  5. Step 5: Solve for x
    x = 14,421,030.29/4,782.85
  6. Step 6: Final answer
    x = 3,015.15

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