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Finding the Fourth Proportional to 5,341.24, 7,365.36 and 3,856.24

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Solution

The fourth proportional to 5,341.24, 7,365.36 and 3,856.24 is: 5,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.24 : 7,365.36 = 3,856.24 : x
  2. Step 2: Convert to fraction form
    5,341.24/7,365.36 = 3,856.24/x
  3. Step 3: Cross multiply
    5,341.24x = 7,365.36 × 3,856.24
  4. Step 4: Simplify right side
    5,341.24x = 28,402,595.85
  5. Step 5: Solve for x
    x = 28,402,595.85/5,341.24
  6. Step 6: Final answer
    x = 5,317.60

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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.