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Finding the Fourth Proportional to 5,141.32, 7,095 and 2,903.18

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Solution

The fourth proportional to 5,141.32, 7,095 and 2,903.18 is: 4,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.32 : 7,095 = 2,903.18 : x
  2. Step 2: Convert to fraction form
    5,141.32/7,095 = 2,903.18/x
  3. Step 3: Cross multiply
    5,141.32x = 7,095 × 2,903.18
  4. Step 4: Simplify right side
    5,141.32x = 20,598,062.10
  5. Step 5: Solve for x
    x = 20,598,062.10/5,141.32
  6. Step 6: Final answer
    x = 4,006.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.