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Finding the Fourth Proportional to 5,730.54, 8,634.86 and 4,713.32

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Solution

The fourth proportional to 5,730.54, 8,634.86 and 4,713.32 is: 7,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.54 : 8,634.86 = 4,713.32 : x
  2. Step 2: Convert to fraction form
    5,730.54/8,634.86 = 4,713.32/x
  3. Step 3: Cross multiply
    5,730.54x = 8,634.86 × 4,713.32
  4. Step 4: Simplify right side
    5,730.54x = 40,698,856.36
  5. Step 5: Solve for x
    x = 40,698,856.36/5,730.54
  6. Step 6: Final answer
    x = 7,102.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.