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Finding the Fourth Proportional to 4,711.60, 7,067.40 and 4,444.30

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Solution

The fourth proportional to 4,711.60, 7,067.40 and 4,444.30 is: 6,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.60 : 7,067.40 = 4,444.30 : x
  2. Step 2: Convert to fraction form
    4,711.60/7,067.40 = 4,444.30/x
  3. Step 3: Cross multiply
    4,711.60x = 7,067.40 × 4,444.30
  4. Step 4: Simplify right side
    4,711.60x = 31,409,645.82
  5. Step 5: Solve for x
    x = 31,409,645.82/4,711.60
  6. Step 6: Final answer
    x = 6,666.45

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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.