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Finding the Fourth Proportional to 5,288.67, 7,934.13 and 1,590.59

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Solution

The fourth proportional to 5,288.67, 7,934.13 and 1,590.59 is: 2,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.67 : 7,934.13 = 1,590.59 : x
  2. Step 2: Convert to fraction form
    5,288.67/7,934.13 = 1,590.59/x
  3. Step 3: Cross multiply
    5,288.67x = 7,934.13 × 1,590.59
  4. Step 4: Simplify right side
    5,288.67x = 12,619,947.84
  5. Step 5: Solve for x
    x = 12,619,947.84/5,288.67
  6. Step 6: Final answer
    x = 2,386.22

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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.