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Finding the Fourth Proportional to 5,460.59, 7,538.19 and 3,695.06

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Solution

The fourth proportional to 5,460.59, 7,538.19 and 3,695.06 is: 5,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.59 : 7,538.19 = 3,695.06 : x
  2. Step 2: Convert to fraction form
    5,460.59/7,538.19 = 3,695.06/x
  3. Step 3: Cross multiply
    5,460.59x = 7,538.19 × 3,695.06
  4. Step 4: Simplify right side
    5,460.59x = 27,854,064.34
  5. Step 5: Solve for x
    x = 27,854,064.34/5,460.59
  6. Step 6: Final answer
    x = 5,100.93

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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.