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Finding the Fourth Proportional to 4,987.63, 7,478.74 and 1,823.77

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Solution

The fourth proportional to 4,987.63, 7,478.74 and 1,823.77 is: 2,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.63 : 7,478.74 = 1,823.77 : x
  2. Step 2: Convert to fraction form
    4,987.63/7,478.74 = 1,823.77/x
  3. Step 3: Cross multiply
    4,987.63x = 7,478.74 × 1,823.77
  4. Step 4: Simplify right side
    4,987.63x = 13,639,501.65
  5. Step 5: Solve for x
    x = 13,639,501.65/4,987.63
  6. Step 6: Final answer
    x = 2,734.67

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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.