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Finding the Fourth Proportional to 4,497.86, 6,746.78 and 1,210.96

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Solution

The fourth proportional to 4,497.86, 6,746.78 and 1,210.96 is: 1,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.86 : 6,746.78 = 1,210.96 : x
  2. Step 2: Convert to fraction form
    4,497.86/6,746.78 = 1,210.96/x
  3. Step 3: Cross multiply
    4,497.86x = 6,746.78 × 1,210.96
  4. Step 4: Simplify right side
    4,497.86x = 8,170,080.71
  5. Step 5: Solve for x
    x = 8,170,080.71/4,497.86
  6. Step 6: Final answer
    x = 1,816.44

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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.