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Finding the Fourth Proportional to 4,971.66, 7,458.21 and 1,509.90

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Solution

The fourth proportional to 4,971.66, 7,458.21 and 1,509.90 is: 2,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.66 : 7,458.21 = 1,509.90 : x
  2. Step 2: Convert to fraction form
    4,971.66/7,458.21 = 1,509.90/x
  3. Step 3: Cross multiply
    4,971.66x = 7,458.21 × 1,509.90
  4. Step 4: Simplify right side
    4,971.66x = 11,261,151.28
  5. Step 5: Solve for x
    x = 11,261,151.28/4,971.66
  6. Step 6: Final answer
    x = 2,265.07

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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.