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Finding the Fourth Proportional to 3,730.93, 5,597.06 and 1,538.46

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Solution

The fourth proportional to 3,730.93, 5,597.06 and 1,538.46 is: 2,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.93 : 5,597.06 = 1,538.46 : x
  2. Step 2: Convert to fraction form
    3,730.93/5,597.06 = 1,538.46/x
  3. Step 3: Cross multiply
    3,730.93x = 5,597.06 × 1,538.46
  4. Step 4: Simplify right side
    3,730.93x = 8,610,852.93
  5. Step 5: Solve for x
    x = 8,610,852.93/3,730.93
  6. Step 6: Final answer
    x = 2,307.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.