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Finding the Fourth Proportional to 5,628.16, 7,762.13 and 4,215.16

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Solution

The fourth proportional to 5,628.16, 7,762.13 and 4,215.16 is: 5,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.16 : 7,762.13 = 4,215.16 : x
  2. Step 2: Convert to fraction form
    5,628.16/7,762.13 = 4,215.16/x
  3. Step 3: Cross multiply
    5,628.16x = 7,762.13 × 4,215.16
  4. Step 4: Simplify right side
    5,628.16x = 32,718,581.08
  5. Step 5: Solve for x
    x = 32,718,581.08/5,628.16
  6. Step 6: Final answer
    x = 5,813.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.