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Finding the Fourth Proportional to 4,784.40, 6,585.84 and 4,123.44

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Solution

The fourth proportional to 4,784.40, 6,585.84 and 4,123.44 is: 5,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.40 : 6,585.84 = 4,123.44 : x
  2. Step 2: Convert to fraction form
    4,784.40/6,585.84 = 4,123.44/x
  3. Step 3: Cross multiply
    4,784.40x = 6,585.84 × 4,123.44
  4. Step 4: Simplify right side
    4,784.40x = 27,156,316.09
  5. Step 5: Solve for x
    x = 27,156,316.09/4,784.40
  6. Step 6: Final answer
    x = 5,676.01

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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.