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Finding the Fourth Proportional to 3,465.13, 5,197.08 and 999.35

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Solution

The fourth proportional to 3,465.13, 5,197.08 and 999.35 is: 1,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.13 : 5,197.08 = 999.35 : x
  2. Step 2: Convert to fraction form
    3,465.13/5,197.08 = 999.35/x
  3. Step 3: Cross multiply
    3,465.13x = 5,197.08 × 999.35
  4. Step 4: Simplify right side
    3,465.13x = 5,193,701.90
  5. Step 5: Solve for x
    x = 5,193,701.90/3,465.13
  6. Step 6: Final answer
    x = 1,498.85

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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.