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Finding the Fourth Proportional to 4,977.82, 7,470.12 and 2,056.10

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Solution

The fourth proportional to 4,977.82, 7,470.12 and 2,056.10 is: 3,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.82 : 7,470.12 = 2,056.10 : x
  2. Step 2: Convert to fraction form
    4,977.82/7,470.12 = 2,056.10/x
  3. Step 3: Cross multiply
    4,977.82x = 7,470.12 × 2,056.10
  4. Step 4: Simplify right side
    4,977.82x = 15,359,326.11
  5. Step 5: Solve for x
    x = 15,359,326.11/4,977.82
  6. Step 6: Final answer
    x = 3,085.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.