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Finding the Fourth Proportional to 5,868.65, 8,797.47 and 1,970.33

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Solution

The fourth proportional to 5,868.65, 8,797.47 and 1,970.33 is: 2,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.65 : 8,797.47 = 1,970.33 : x
  2. Step 2: Convert to fraction form
    5,868.65/8,797.47 = 1,970.33/x
  3. Step 3: Cross multiply
    5,868.65x = 8,797.47 × 1,970.33
  4. Step 4: Simplify right side
    5,868.65x = 17,333,867.69
  5. Step 5: Solve for x
    x = 17,333,867.69/5,868.65
  6. Step 6: Final answer
    x = 2,953.64

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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.