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Finding the Fourth Proportional to 5,468.72, 7,547 and 3,111.20

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Solution

The fourth proportional to 5,468.72, 7,547 and 3,111.20 is: 4,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.72 : 7,547 = 3,111.20 : x
  2. Step 2: Convert to fraction form
    5,468.72/7,547 = 3,111.20/x
  3. Step 3: Cross multiply
    5,468.72x = 7,547 × 3,111.20
  4. Step 4: Simplify right side
    5,468.72x = 23,480,226.40
  5. Step 5: Solve for x
    x = 23,480,226.40/5,468.72
  6. Step 6: Final answer
    x = 4,293.55

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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.