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Finding the Fourth Proportional to 3,509.16, 5,264.04 and 1,010.40

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Solution

The fourth proportional to 3,509.16, 5,264.04 and 1,010.40 is: 1,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.16 : 5,264.04 = 1,010.40 : x
  2. Step 2: Convert to fraction form
    3,509.16/5,264.04 = 1,010.40/x
  3. Step 3: Cross multiply
    3,509.16x = 5,264.04 × 1,010.40
  4. Step 4: Simplify right side
    3,509.16x = 5,318,786.02
  5. Step 5: Solve for x
    x = 5,318,786.02/3,509.16
  6. Step 6: Final answer
    x = 1,515.69

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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.