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Finding the Fourth Proportional to 5,557.94, 7,670.24 and 3,200.42

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Solution

The fourth proportional to 5,557.94, 7,670.24 and 3,200.42 is: 4,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.94 : 7,670.24 = 3,200.42 : x
  2. Step 2: Convert to fraction form
    5,557.94/7,670.24 = 3,200.42/x
  3. Step 3: Cross multiply
    5,557.94x = 7,670.24 × 3,200.42
  4. Step 4: Simplify right side
    5,557.94x = 24,547,989.50
  5. Step 5: Solve for x
    x = 24,547,989.50/5,557.94
  6. Step 6: Final answer
    x = 4,416.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.