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Finding the Fourth Proportional to 5,426.34, 7,495.38 and 4,012.90

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Solution

The fourth proportional to 5,426.34, 7,495.38 and 4,012.90 is: 5,543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.34 : 7,495.38 = 4,012.90 : x
  2. Step 2: Convert to fraction form
    5,426.34/7,495.38 = 4,012.90/x
  3. Step 3: Cross multiply
    5,426.34x = 7,495.38 × 4,012.90
  4. Step 4: Simplify right side
    5,426.34x = 30,078,210.40
  5. Step 5: Solve for x
    x = 30,078,210.40/5,426.34
  6. Step 6: Final answer
    x = 5,543.00

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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.