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Finding the Fourth Proportional to 5,978.07, 8,251.95 and 5,135.39

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Solution

The fourth proportional to 5,978.07, 8,251.95 and 5,135.39 is: 7,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.07 : 8,251.95 = 5,135.39 : x
  2. Step 2: Convert to fraction form
    5,978.07/8,251.95 = 5,135.39/x
  3. Step 3: Cross multiply
    5,978.07x = 8,251.95 × 5,135.39
  4. Step 4: Simplify right side
    5,978.07x = 42,376,981.51
  5. Step 5: Solve for x
    x = 42,376,981.51/5,978.07
  6. Step 6: Final answer
    x = 7,088.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.