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Finding the Fourth Proportional to 5,006.93, 6,907.82 and 3,117.41

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Solution

The fourth proportional to 5,006.93, 6,907.82 and 3,117.41 is: 4,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.93 : 6,907.82 = 3,117.41 : x
  2. Step 2: Convert to fraction form
    5,006.93/6,907.82 = 3,117.41/x
  3. Step 3: Cross multiply
    5,006.93x = 6,907.82 × 3,117.41
  4. Step 4: Simplify right side
    5,006.93x = 21,534,457.02
  5. Step 5: Solve for x
    x = 21,534,457.02/5,006.93
  6. Step 6: Final answer
    x = 4,300.93

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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.