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Finding the Fourth Proportional to 3,316.02, 4,973.90 and 976.02

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Solution

The fourth proportional to 3,316.02, 4,973.90 and 976.02 is: 1,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.02 : 4,973.90 = 976.02 : x
  2. Step 2: Convert to fraction form
    3,316.02/4,973.90 = 976.02/x
  3. Step 3: Cross multiply
    3,316.02x = 4,973.90 × 976.02
  4. Step 4: Simplify right side
    3,316.02x = 4,854,625.88
  5. Step 5: Solve for x
    x = 4,854,625.88/3,316.02
  6. Step 6: Final answer
    x = 1,463.99

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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.