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Finding the Fourth Proportional to 4,803.47, 7,194.13 and 4,637.24

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Solution

The fourth proportional to 4,803.47, 7,194.13 and 4,637.24 is: 6,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.47 : 7,194.13 = 4,637.24 : x
  2. Step 2: Convert to fraction form
    4,803.47/7,194.13 = 4,637.24/x
  3. Step 3: Cross multiply
    4,803.47x = 7,194.13 × 4,637.24
  4. Step 4: Simplify right side
    4,803.47x = 33,360,907.40
  5. Step 5: Solve for x
    x = 33,360,907.40/4,803.47
  6. Step 6: Final answer
    x = 6,945.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.