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Finding the Fourth Proportional to 4,368, 6,027.84 and 2,505.60

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Solution

The fourth proportional to 4,368, 6,027.84 and 2,505.60 is: 3,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368 : 6,027.84 = 2,505.60 : x
  2. Step 2: Convert to fraction form
    4,368/6,027.84 = 2,505.60/x
  3. Step 3: Cross multiply
    4,368x = 6,027.84 × 2,505.60
  4. Step 4: Simplify right side
    4,368x = 15,103,355.90
  5. Step 5: Solve for x
    x = 15,103,355.90/4,368
  6. Step 6: Final answer
    x = 3,457.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.