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Finding the Fourth Proportional to 5,103.32, 7,655.13 and 1,405.61

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Solution

The fourth proportional to 5,103.32, 7,655.13 and 1,405.61 is: 2,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.32 : 7,655.13 = 1,405.61 : x
  2. Step 2: Convert to fraction form
    5,103.32/7,655.13 = 1,405.61/x
  3. Step 3: Cross multiply
    5,103.32x = 7,655.13 × 1,405.61
  4. Step 4: Simplify right side
    5,103.32x = 10,760,089.00
  5. Step 5: Solve for x
    x = 10,760,089.00/5,103.32
  6. Step 6: Final answer
    x = 2,108.45

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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.