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Finding the Fourth Proportional to 4,509.90, 6,223.68 and 2,740.32

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Solution

The fourth proportional to 4,509.90, 6,223.68 and 2,740.32 is: 3,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.90 : 6,223.68 = 2,740.32 : x
  2. Step 2: Convert to fraction form
    4,509.90/6,223.68 = 2,740.32/x
  3. Step 3: Cross multiply
    4,509.90x = 6,223.68 × 2,740.32
  4. Step 4: Simplify right side
    4,509.90x = 17,054,874.78
  5. Step 5: Solve for x
    x = 17,054,874.78/4,509.90
  6. Step 6: Final answer
    x = 3,781.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.