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Finding the Fourth Proportional to 4,580.96, 6,873.93 and 1,984.10

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Solution

The fourth proportional to 4,580.96, 6,873.93 and 1,984.10 is: 2,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.96 : 6,873.93 = 1,984.10 : x
  2. Step 2: Convert to fraction form
    4,580.96/6,873.93 = 1,984.10/x
  3. Step 3: Cross multiply
    4,580.96x = 6,873.93 × 1,984.10
  4. Step 4: Simplify right side
    4,580.96x = 13,638,530.14
  5. Step 5: Solve for x
    x = 13,638,530.14/4,580.96
  6. Step 6: Final answer
    x = 2,977.22

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Why These Related Problems?

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