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Finding the Fourth Proportional to 5,407.58, 7,461.63 and 3,049.74

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Solution

The fourth proportional to 5,407.58, 7,461.63 and 3,049.74 is: 4,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.58 : 7,461.63 = 3,049.74 : x
  2. Step 2: Convert to fraction form
    5,407.58/7,461.63 = 3,049.74/x
  3. Step 3: Cross multiply
    5,407.58x = 7,461.63 × 3,049.74
  4. Step 4: Simplify right side
    5,407.58x = 22,756,031.48
  5. Step 5: Solve for x
    x = 22,756,031.48/5,407.58
  6. Step 6: Final answer
    x = 4,208.18

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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.