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Finding the Fourth Proportional to 3,655.98, 5,045.90 and 3,534.48

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Solution

The fourth proportional to 3,655.98, 5,045.90 and 3,534.48 is: 4,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.98 : 5,045.90 = 3,534.48 : x
  2. Step 2: Convert to fraction form
    3,655.98/5,045.90 = 3,534.48/x
  3. Step 3: Cross multiply
    3,655.98x = 5,045.90 × 3,534.48
  4. Step 4: Simplify right side
    3,655.98x = 17,834,632.63
  5. Step 5: Solve for x
    x = 17,834,632.63/3,655.98
  6. Step 6: Final answer
    x = 4,878.21

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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.