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Finding the Fourth Proportional to 4,987.75, 7,482.71 and 1,478.03

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Solution

The fourth proportional to 4,987.75, 7,482.71 and 1,478.03 is: 2,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.75 : 7,482.71 = 1,478.03 : x
  2. Step 2: Convert to fraction form
    4,987.75/7,482.71 = 1,478.03/x
  3. Step 3: Cross multiply
    4,987.75x = 7,482.71 × 1,478.03
  4. Step 4: Simplify right side
    4,987.75x = 11,059,632.45
  5. Step 5: Solve for x
    x = 11,059,632.45/4,987.75
  6. Step 6: Final answer
    x = 2,217.36

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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.