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Finding the Fourth Proportional to 5,005.87, 6,905.28 and 3,117.76

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Solution

The fourth proportional to 5,005.87, 6,905.28 and 3,117.76 is: 4,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.87 : 6,905.28 = 3,117.76 : x
  2. Step 2: Convert to fraction form
    5,005.87/6,905.28 = 3,117.76/x
  3. Step 3: Cross multiply
    5,005.87x = 6,905.28 × 3,117.76
  4. Step 4: Simplify right side
    5,005.87x = 21,528,971.25
  5. Step 5: Solve for x
    x = 21,528,971.25/5,005.87
  6. Step 6: Final answer
    x = 4,300.75

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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.