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Finding the Fourth Proportional to 5,208.33, 7,813.71 and 1,510.65

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Solution

The fourth proportional to 5,208.33, 7,813.71 and 1,510.65 is: 2,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.33 : 7,813.71 = 1,510.65 : x
  2. Step 2: Convert to fraction form
    5,208.33/7,813.71 = 1,510.65/x
  3. Step 3: Cross multiply
    5,208.33x = 7,813.71 × 1,510.65
  4. Step 4: Simplify right side
    5,208.33x = 11,803,781.01
  5. Step 5: Solve for x
    x = 11,803,781.01/5,208.33
  6. Step 6: Final answer
    x = 2,266.33

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1.5x scale

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.