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Finding the Fourth Proportional to 4,685.65, 7,029.66 and 1,398.76

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Solution

The fourth proportional to 4,685.65, 7,029.66 and 1,398.76 is: 2,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.65 : 7,029.66 = 1,398.76 : x
  2. Step 2: Convert to fraction form
    4,685.65/7,029.66 = 1,398.76/x
  3. Step 3: Cross multiply
    4,685.65x = 7,029.66 × 1,398.76
  4. Step 4: Simplify right side
    4,685.65x = 9,832,807.22
  5. Step 5: Solve for x
    x = 9,832,807.22/4,685.65
  6. Step 6: Final answer
    x = 2,098.49

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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.