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Finding the Fourth Proportional to 5,038.34, 6,953.26 and 2,914.25

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Solution

The fourth proportional to 5,038.34, 6,953.26 and 2,914.25 is: 4,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.34 : 6,953.26 = 2,914.25 : x
  2. Step 2: Convert to fraction form
    5,038.34/6,953.26 = 2,914.25/x
  3. Step 3: Cross multiply
    5,038.34x = 6,953.26 × 2,914.25
  4. Step 4: Simplify right side
    5,038.34x = 20,263,547.74
  5. Step 5: Solve for x
    x = 20,263,547.74/5,038.34
  6. Step 6: Final answer
    x = 4,021.87

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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.