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Finding the Fourth Proportional to 5,461.92, 7,532.64 and 4,341.60

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Solution

The fourth proportional to 5,461.92, 7,532.64 and 4,341.60 is: 5,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.92 : 7,532.64 = 4,341.60 : x
  2. Step 2: Convert to fraction form
    5,461.92/7,532.64 = 4,341.60/x
  3. Step 3: Cross multiply
    5,461.92x = 7,532.64 × 4,341.60
  4. Step 4: Simplify right side
    5,461.92x = 32,703,709.82
  5. Step 5: Solve for x
    x = 32,703,709.82/5,461.92
  6. Step 6: Final answer
    x = 5,987.58

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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.