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Finding the Fourth Proportional to 4,652.16, 6,978.86 and 1,730.09

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Solution

The fourth proportional to 4,652.16, 6,978.86 and 1,730.09 is: 2,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.16 : 6,978.86 = 1,730.09 : x
  2. Step 2: Convert to fraction form
    4,652.16/6,978.86 = 1,730.09/x
  3. Step 3: Cross multiply
    4,652.16x = 6,978.86 × 1,730.09
  4. Step 4: Simplify right side
    4,652.16x = 12,074,012.35
  5. Step 5: Solve for x
    x = 12,074,012.35/4,652.16
  6. Step 6: Final answer
    x = 2,595.36

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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.