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Finding the Fourth Proportional to 4,552.72, 6,822.06 and 2,358.16

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Solution

The fourth proportional to 4,552.72, 6,822.06 and 2,358.16 is: 3,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.72 : 6,822.06 = 2,358.16 : x
  2. Step 2: Convert to fraction form
    4,552.72/6,822.06 = 2,358.16/x
  3. Step 3: Cross multiply
    4,552.72x = 6,822.06 × 2,358.16
  4. Step 4: Simplify right side
    4,552.72x = 16,087,509.01
  5. Step 5: Solve for x
    x = 16,087,509.01/4,552.72
  6. Step 6: Final answer
    x = 3,533.60

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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.