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Finding the Fourth Proportional to 4,697.86, 7,046.74 and 1,410.81

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Solution

The fourth proportional to 4,697.86, 7,046.74 and 1,410.81 is: 2,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.86 : 7,046.74 = 1,410.81 : x
  2. Step 2: Convert to fraction form
    4,697.86/7,046.74 = 1,410.81/x
  3. Step 3: Cross multiply
    4,697.86x = 7,046.74 × 1,410.81
  4. Step 4: Simplify right side
    4,697.86x = 9,941,639.45
  5. Step 5: Solve for x
    x = 9,941,639.45/4,697.86
  6. Step 6: Final answer
    x = 2,116.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.