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Finding the Fourth Proportional to 5,103.76, 7,656.72 and 1,594.12

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Solution

The fourth proportional to 5,103.76, 7,656.72 and 1,594.12 is: 2,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.76 : 7,656.72 = 1,594.12 : x
  2. Step 2: Convert to fraction form
    5,103.76/7,656.72 = 1,594.12/x
  3. Step 3: Cross multiply
    5,103.76x = 7,656.72 × 1,594.12
  4. Step 4: Simplify right side
    5,103.76x = 12,205,730.49
  5. Step 5: Solve for x
    x = 12,205,730.49/5,103.76
  6. Step 6: Final answer
    x = 2,391.52

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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.