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Finding the Fourth Proportional to 3,598.16, 5,395.77 and 1,257.66

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Solution

The fourth proportional to 3,598.16, 5,395.77 and 1,257.66 is: 1,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.16 : 5,395.77 = 1,257.66 : x
  2. Step 2: Convert to fraction form
    3,598.16/5,395.77 = 1,257.66/x
  3. Step 3: Cross multiply
    3,598.16x = 5,395.77 × 1,257.66
  4. Step 4: Simplify right side
    3,598.16x = 6,786,044.10
  5. Step 5: Solve for x
    x = 6,786,044.10/3,598.16
  6. Step 6: Final answer
    x = 1,885.98

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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.