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Finding the Fourth Proportional to 3,509.40, 4,847.70 and 2,854.56

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Solution

The fourth proportional to 3,509.40, 4,847.70 and 2,854.56 is: 3,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.40 : 4,847.70 = 2,854.56 : x
  2. Step 2: Convert to fraction form
    3,509.40/4,847.70 = 2,854.56/x
  3. Step 3: Cross multiply
    3,509.40x = 4,847.70 × 2,854.56
  4. Step 4: Simplify right side
    3,509.40x = 13,838,050.51
  5. Step 5: Solve for x
    x = 13,838,050.51/3,509.40
  6. Step 6: Final answer
    x = 3,943.14

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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.