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Finding the Fourth Proportional to 4,774.15, 6,588.16 and 2,784.84

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Solution

The fourth proportional to 4,774.15, 6,588.16 and 2,784.84 is: 3,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.15 : 6,588.16 = 2,784.84 : x
  2. Step 2: Convert to fraction form
    4,774.15/6,588.16 = 2,784.84/x
  3. Step 3: Cross multiply
    4,774.15x = 6,588.16 × 2,784.84
  4. Step 4: Simplify right side
    4,774.15x = 18,346,971.49
  5. Step 5: Solve for x
    x = 18,346,971.49/4,774.15
  6. Step 6: Final answer
    x = 3,842.98

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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.