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Finding the Fourth Proportional to 4,697.47, 6,467.76 and 3,987.84

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Solution

The fourth proportional to 4,697.47, 6,467.76 and 3,987.84 is: 5,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.47 : 6,467.76 = 3,987.84 : x
  2. Step 2: Convert to fraction form
    4,697.47/6,467.76 = 3,987.84/x
  3. Step 3: Cross multiply
    4,697.47x = 6,467.76 × 3,987.84
  4. Step 4: Simplify right side
    4,697.47x = 25,792,405.08
  5. Step 5: Solve for x
    x = 25,792,405.08/4,697.47
  6. Step 6: Final answer
    x = 5,490.70

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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.