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Finding the Fourth Proportional to 5,158.68, 7,738.98 and 1,698.36

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Solution

The fourth proportional to 5,158.68, 7,738.98 and 1,698.36 is: 2,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.68 : 7,738.98 = 1,698.36 : x
  2. Step 2: Convert to fraction form
    5,158.68/7,738.98 = 1,698.36/x
  3. Step 3: Cross multiply
    5,158.68x = 7,738.98 × 1,698.36
  4. Step 4: Simplify right side
    5,158.68x = 13,143,574.07
  5. Step 5: Solve for x
    x = 13,143,574.07/5,158.68
  6. Step 6: Final answer
    x = 2,547.86

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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.