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Finding the Fourth Proportional to 4,597.96, 6,898.02 and 1,311.10

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Solution

The fourth proportional to 4,597.96, 6,898.02 and 1,311.10 is: 1,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.96 : 6,898.02 = 1,311.10 : x
  2. Step 2: Convert to fraction form
    4,597.96/6,898.02 = 1,311.10/x
  3. Step 3: Cross multiply
    4,597.96x = 6,898.02 × 1,311.10
  4. Step 4: Simplify right side
    4,597.96x = 9,043,994.02
  5. Step 5: Solve for x
    x = 9,043,994.02/4,597.96
  6. Step 6: Final answer
    x = 1,966.96

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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.