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Finding the Fourth Proportional to 3,407.76, 5,108.40 and 1,326.24

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Solution

The fourth proportional to 3,407.76, 5,108.40 and 1,326.24 is: 1,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.76 : 5,108.40 = 1,326.24 : x
  2. Step 2: Convert to fraction form
    3,407.76/5,108.40 = 1,326.24/x
  3. Step 3: Cross multiply
    3,407.76x = 5,108.40 × 1,326.24
  4. Step 4: Simplify right side
    3,407.76x = 6,774,964.42
  5. Step 5: Solve for x
    x = 6,774,964.42/3,407.76
  6. Step 6: Final answer
    x = 1,988.10

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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.