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Finding the Fourth Proportional to 5,271.66, 7,275.42 and 3,033.63

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Solution

The fourth proportional to 5,271.66, 7,275.42 and 3,033.63 is: 4,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.66 : 7,275.42 = 3,033.63 : x
  2. Step 2: Convert to fraction form
    5,271.66/7,275.42 = 3,033.63/x
  3. Step 3: Cross multiply
    5,271.66x = 7,275.42 × 3,033.63
  4. Step 4: Simplify right side
    5,271.66x = 22,070,952.84
  5. Step 5: Solve for x
    x = 22,070,952.84/5,271.66
  6. Step 6: Final answer
    x = 4,186.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.