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Finding the Fourth Proportional to 4,929.47, 7,393.70 and 1,642.21

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Solution

The fourth proportional to 4,929.47, 7,393.70 and 1,642.21 is: 2,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.47 : 7,393.70 = 1,642.21 : x
  2. Step 2: Convert to fraction form
    4,929.47/7,393.70 = 1,642.21/x
  3. Step 3: Cross multiply
    4,929.47x = 7,393.70 × 1,642.21
  4. Step 4: Simplify right side
    4,929.47x = 12,141,971.11
  5. Step 5: Solve for x
    x = 12,141,971.11/4,929.47
  6. Step 6: Final answer
    x = 2,463.14

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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.