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Finding the Fourth Proportional to 5,784.76, 7,962.66 and 5,120.44

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Solution

The fourth proportional to 5,784.76, 7,962.66 and 5,120.44 is: 7,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.76 : 7,962.66 = 5,120.44 : x
  2. Step 2: Convert to fraction form
    5,784.76/7,962.66 = 5,120.44/x
  3. Step 3: Cross multiply
    5,784.76x = 7,962.66 × 5,120.44
  4. Step 4: Simplify right side
    5,784.76x = 40,772,322.77
  5. Step 5: Solve for x
    x = 40,772,322.77/5,784.76
  6. Step 6: Final answer
    x = 7,048.23

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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.