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Finding the Fourth Proportional to 5,461.00, 7,534.38 and 3,335.76

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Solution

The fourth proportional to 5,461.00, 7,534.38 and 3,335.76 is: 4,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.00 : 7,534.38 = 3,335.76 : x
  2. Step 2: Convert to fraction form
    5,461.00/7,534.38 = 3,335.76/x
  3. Step 3: Cross multiply
    5,461.00x = 7,534.38 × 3,335.76
  4. Step 4: Simplify right side
    5,461.00x = 25,132,895.94
  5. Step 5: Solve for x
    x = 25,132,895.94/5,461.00
  6. Step 6: Final answer
    x = 4,602.25

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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.