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Finding the Fourth Proportional to 5,005.86, 6,904.44 and 4,341.57

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Solution

The fourth proportional to 5,005.86, 6,904.44 and 4,341.57 is: 5,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.86 : 6,904.44 = 4,341.57 : x
  2. Step 2: Convert to fraction form
    5,005.86/6,904.44 = 4,341.57/x
  3. Step 3: Cross multiply
    5,005.86x = 6,904.44 × 4,341.57
  4. Step 4: Simplify right side
    5,005.86x = 29,976,109.57
  5. Step 5: Solve for x
    x = 29,976,109.57/5,005.86
  6. Step 6: Final answer
    x = 5,988.20

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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.