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Finding the Fourth Proportional to 4,697.99, 7,048.18 and 1,411.11

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Solution

The fourth proportional to 4,697.99, 7,048.18 and 1,411.11 is: 2,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.99 : 7,048.18 = 1,411.11 : x
  2. Step 2: Convert to fraction form
    4,697.99/7,048.18 = 1,411.11/x
  3. Step 3: Cross multiply
    4,697.99x = 7,048.18 × 1,411.11
  4. Step 4: Simplify right side
    4,697.99x = 9,945,753.75
  5. Step 5: Solve for x
    x = 9,945,753.75/4,697.99
  6. Step 6: Final answer
    x = 2,117.02

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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.