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Finding the Fourth Proportional to 3,920.24, 5,407.08 and 2,595.08

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Solution

The fourth proportional to 3,920.24, 5,407.08 and 2,595.08 is: 3,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.24 : 5,407.08 = 2,595.08 : x
  2. Step 2: Convert to fraction form
    3,920.24/5,407.08 = 2,595.08/x
  3. Step 3: Cross multiply
    3,920.24x = 5,407.08 × 2,595.08
  4. Step 4: Simplify right side
    3,920.24x = 14,031,805.17
  5. Step 5: Solve for x
    x = 14,031,805.17/3,920.24
  6. Step 6: Final answer
    x = 3,579.32

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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.