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Finding the Fourth Proportional to 3,509.66, 5,264.45 and 1,010.91

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Solution

The fourth proportional to 3,509.66, 5,264.45 and 1,010.91 is: 1,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.66 : 5,264.45 = 1,010.91 : x
  2. Step 2: Convert to fraction form
    3,509.66/5,264.45 = 1,010.91/x
  3. Step 3: Cross multiply
    3,509.66x = 5,264.45 × 1,010.91
  4. Step 4: Simplify right side
    3,509.66x = 5,321,885.15
  5. Step 5: Solve for x
    x = 5,321,885.15/3,509.66
  6. Step 6: Final answer
    x = 1,516.35

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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.