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Finding the Fourth Proportional to 5,165.02, 7,747.50 and 1,878.10

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Solution

The fourth proportional to 5,165.02, 7,747.50 and 1,878.10 is: 2,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.02 : 7,747.50 = 1,878.10 : x
  2. Step 2: Convert to fraction form
    5,165.02/7,747.50 = 1,878.10/x
  3. Step 3: Cross multiply
    5,165.02x = 7,747.50 × 1,878.10
  4. Step 4: Simplify right side
    5,165.02x = 14,550,579.75
  5. Step 5: Solve for x
    x = 14,550,579.75/5,165.02
  6. Step 6: Final answer
    x = 2,817.14

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1.5x scale

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.