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Finding the Fourth Proportional to 5,746.32, 7,926.72 and 3,387.84

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Solution

The fourth proportional to 5,746.32, 7,926.72 and 3,387.84 is: 4,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.32 : 7,926.72 = 3,387.84 : x
  2. Step 2: Convert to fraction form
    5,746.32/7,926.72 = 3,387.84/x
  3. Step 3: Cross multiply
    5,746.32x = 7,926.72 × 3,387.84
  4. Step 4: Simplify right side
    5,746.32x = 26,854,459.08
  5. Step 5: Solve for x
    x = 26,854,459.08/5,746.32
  6. Step 6: Final answer
    x = 4,673.33

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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.