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Finding the Fourth Proportional to 4,374.06, 6,557.13 and 1,598.77

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Solution

The fourth proportional to 4,374.06, 6,557.13 and 1,598.77 is: 2,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.06 : 6,557.13 = 1,598.77 : x
  2. Step 2: Convert to fraction form
    4,374.06/6,557.13 = 1,598.77/x
  3. Step 3: Cross multiply
    4,374.06x = 6,557.13 × 1,598.77
  4. Step 4: Simplify right side
    4,374.06x = 10,483,342.73
  5. Step 5: Solve for x
    x = 10,483,342.73/4,374.06
  6. Step 6: Final answer
    x = 2,396.71

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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.