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Finding the Fourth Proportional to 4,652.04, 6,978.90 and 1,532.22

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Solution

The fourth proportional to 4,652.04, 6,978.90 and 1,532.22 is: 2,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.04 : 6,978.90 = 1,532.22 : x
  2. Step 2: Convert to fraction form
    4,652.04/6,978.90 = 1,532.22/x
  3. Step 3: Cross multiply
    4,652.04x = 6,978.90 × 1,532.22
  4. Step 4: Simplify right side
    4,652.04x = 10,693,210.16
  5. Step 5: Solve for x
    x = 10,693,210.16/4,652.04
  6. Step 6: Final answer
    x = 2,298.61

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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.