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Finding the Fourth Proportional to 5,357.08, 7,386.31 and 4,609.74

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Solution

The fourth proportional to 5,357.08, 7,386.31 and 4,609.74 is: 6,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.08 : 7,386.31 = 4,609.74 : x
  2. Step 2: Convert to fraction form
    5,357.08/7,386.31 = 4,609.74/x
  3. Step 3: Cross multiply
    5,357.08x = 7,386.31 × 4,609.74
  4. Step 4: Simplify right side
    5,357.08x = 34,049,014.84
  5. Step 5: Solve for x
    x = 34,049,014.84/5,357.08
  6. Step 6: Final answer
    x = 6,355.89

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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.