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Finding the Fourth Proportional to 5,557.92, 7,670.04 and 3,200.40

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Solution

The fourth proportional to 5,557.92, 7,670.04 and 3,200.40 is: 4,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.92 : 7,670.04 = 3,200.40 : x
  2. Step 2: Convert to fraction form
    5,557.92/7,670.04 = 3,200.40/x
  3. Step 3: Cross multiply
    5,557.92x = 7,670.04 × 3,200.40
  4. Step 4: Simplify right side
    5,557.92x = 24,547,196.02
  5. Step 5: Solve for x
    x = 24,547,196.02/5,557.92
  6. Step 6: Final answer
    x = 4,416.62

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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.