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Finding the Fourth Proportional to 5,722.65, 7,800.30 and 5,722.65

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Solution

The fourth proportional to 5,722.65, 7,800.30 and 5,722.65 is: 7,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.65 : 7,800.30 = 5,722.65 : x
  2. Step 2: Convert to fraction form
    5,722.65/7,800.30 = 5,722.65/x
  3. Step 3: Cross multiply
    5,722.65x = 7,800.30 × 5,722.65
  4. Step 4: Simplify right side
    5,722.65x = 44,638,386.80
  5. Step 5: Solve for x
    x = 44,638,386.80/5,722.65
  6. Step 6: Final answer
    x = 7,800.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.