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Finding the Fourth Proportional to 3,140.90, 4,711.35 and 3,140.90

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Solution

The fourth proportional to 3,140.90, 4,711.35 and 3,140.90 is: 4,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.90 : 4,711.35 = 3,140.90 : x
  2. Step 2: Convert to fraction form
    3,140.90/4,711.35 = 3,140.90/x
  3. Step 3: Cross multiply
    3,140.90x = 4,711.35 × 3,140.90
  4. Step 4: Simplify right side
    3,140.90x = 14,797,879.22
  5. Step 5: Solve for x
    x = 14,797,879.22/3,140.90
  6. Step 6: Final answer
    x = 4,711.35

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