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Finding the Fourth Proportional to 5,752.04, 7,919.63 and 5,226.50

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Solution

The fourth proportional to 5,752.04, 7,919.63 and 5,226.50 is: 7,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.04 : 7,919.63 = 5,226.50 : x
  2. Step 2: Convert to fraction form
    5,752.04/7,919.63 = 5,226.50/x
  3. Step 3: Cross multiply
    5,752.04x = 7,919.63 × 5,226.50
  4. Step 4: Simplify right side
    5,752.04x = 41,391,946.20
  5. Step 5: Solve for x
    x = 41,391,946.20/5,752.04
  6. Step 6: Final answer
    x = 7,196.05

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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.