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Finding the Fourth Proportional to 4,719.54, 6,513 and 2,952.15

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Solution

The fourth proportional to 4,719.54, 6,513 and 2,952.15 is: 4,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.54 : 6,513 = 2,952.15 : x
  2. Step 2: Convert to fraction form
    4,719.54/6,513 = 2,952.15/x
  3. Step 3: Cross multiply
    4,719.54x = 6,513 × 2,952.15
  4. Step 4: Simplify right side
    4,719.54x = 19,227,352.95
  5. Step 5: Solve for x
    x = 19,227,352.95/4,719.54
  6. Step 6: Final answer
    x = 4,073.99

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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.