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Finding the Fourth Proportional to 3,165.99, 4,747.53 and 1,316.00

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Solution

The fourth proportional to 3,165.99, 4,747.53 and 1,316.00 is: 1,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.99 : 4,747.53 = 1,316.00 : x
  2. Step 2: Convert to fraction form
    3,165.99/4,747.53 = 1,316.00/x
  3. Step 3: Cross multiply
    3,165.99x = 4,747.53 × 1,316.00
  4. Step 4: Simplify right side
    3,165.99x = 6,247,725.74
  5. Step 5: Solve for x
    x = 6,247,725.74/3,165.99
  6. Step 6: Final answer
    x = 1,973.39

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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.