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Finding the Fourth Proportional to 4,607.76, 6,907.80 and 1,832.70

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Solution

The fourth proportional to 4,607.76, 6,907.80 and 1,832.70 is: 2,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.76 : 6,907.80 = 1,832.70 : x
  2. Step 2: Convert to fraction form
    4,607.76/6,907.80 = 1,832.70/x
  3. Step 3: Cross multiply
    4,607.76x = 6,907.80 × 1,832.70
  4. Step 4: Simplify right side
    4,607.76x = 12,659,925.06
  5. Step 5: Solve for x
    x = 12,659,925.06/4,607.76
  6. Step 6: Final answer
    x = 2,747.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.