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Finding the Fourth Proportional to 4,719.05, 6,511.35 and 4,013.74

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Solution

The fourth proportional to 4,719.05, 6,511.35 and 4,013.74 is: 5,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.05 : 6,511.35 = 4,013.74 : x
  2. Step 2: Convert to fraction form
    4,719.05/6,511.35 = 4,013.74/x
  3. Step 3: Cross multiply
    4,719.05x = 6,511.35 × 4,013.74
  4. Step 4: Simplify right side
    4,719.05x = 26,134,865.95
  5. Step 5: Solve for x
    x = 26,134,865.95/4,719.05
  6. Step 6: Final answer
    x = 5,538.16

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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.