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Finding the Fourth Proportional to 4,697.43, 6,483.62 and 2,810.13

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Solution

The fourth proportional to 4,697.43, 6,483.62 and 2,810.13 is: 3,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.43 : 6,483.62 = 2,810.13 : x
  2. Step 2: Convert to fraction form
    4,697.43/6,483.62 = 2,810.13/x
  3. Step 3: Cross multiply
    4,697.43x = 6,483.62 × 2,810.13
  4. Step 4: Simplify right side
    4,697.43x = 18,219,801.02
  5. Step 5: Solve for x
    x = 18,219,801.02/4,697.43
  6. Step 6: Final answer
    x = 3,878.67

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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.