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Finding the Fourth Proportional to 5,106.99, 7,047.59 and 2,838.32

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Solution

The fourth proportional to 5,106.99, 7,047.59 and 2,838.32 is: 3,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.99 : 7,047.59 = 2,838.32 : x
  2. Step 2: Convert to fraction form
    5,106.99/7,047.59 = 2,838.32/x
  3. Step 3: Cross multiply
    5,106.99x = 7,047.59 × 2,838.32
  4. Step 4: Simplify right side
    5,106.99x = 20,003,266.22
  5. Step 5: Solve for x
    x = 20,003,266.22/5,106.99
  6. Step 6: Final answer
    x = 3,916.84

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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.