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Finding the Fourth Proportional to 5,033.24, 7,549.71 and 1,746.06

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Solution

The fourth proportional to 5,033.24, 7,549.71 and 1,746.06 is: 2,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.24 : 7,549.71 = 1,746.06 : x
  2. Step 2: Convert to fraction form
    5,033.24/7,549.71 = 1,746.06/x
  3. Step 3: Cross multiply
    5,033.24x = 7,549.71 × 1,746.06
  4. Step 4: Simplify right side
    5,033.24x = 13,182,211.78
  5. Step 5: Solve for x
    x = 13,182,211.78/5,033.24
  6. Step 6: Final answer
    x = 2,619.03

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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.