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Finding the Fourth Proportional to 5,364.86, 7,387.28 and 4,864.35

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Solution

The fourth proportional to 5,364.86, 7,387.28 and 4,864.35 is: 6,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.86 : 7,387.28 = 4,864.35 : x
  2. Step 2: Convert to fraction form
    5,364.86/7,387.28 = 4,864.35/x
  3. Step 3: Cross multiply
    5,364.86x = 7,387.28 × 4,864.35
  4. Step 4: Simplify right side
    5,364.86x = 35,934,315.47
  5. Step 5: Solve for x
    x = 35,934,315.47/5,364.86
  6. Step 6: Final answer
    x = 6,698.09

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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.