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Finding the Fourth Proportional to 4,652.06, 6,978.38 and 1,730.39

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Solution

The fourth proportional to 4,652.06, 6,978.38 and 1,730.39 is: 2,595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.06 : 6,978.38 = 1,730.39 : x
  2. Step 2: Convert to fraction form
    4,652.06/6,978.38 = 1,730.39/x
  3. Step 3: Cross multiply
    4,652.06x = 6,978.38 × 1,730.39
  4. Step 4: Simplify right side
    4,652.06x = 12,075,275.42
  5. Step 5: Solve for x
    x = 12,075,275.42/4,652.06
  6. Step 6: Final answer
    x = 2,595.69

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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.