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Finding the Fourth Proportional to 5,317.02, 7,978.86 and 2,030.40

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Solution

The fourth proportional to 5,317.02, 7,978.86 and 2,030.40 is: 3,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.02 : 7,978.86 = 2,030.40 : x
  2. Step 2: Convert to fraction form
    5,317.02/7,978.86 = 2,030.40/x
  3. Step 3: Cross multiply
    5,317.02x = 7,978.86 × 2,030.40
  4. Step 4: Simplify right side
    5,317.02x = 16,200,277.34
  5. Step 5: Solve for x
    x = 16,200,277.34/5,317.02
  6. Step 6: Final answer
    x = 3,046.87

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Why These Related Problems?

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