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Finding the Fourth Proportional to 4,347.81, 6,507.14 and 3,290.76

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Solution

The fourth proportional to 4,347.81, 6,507.14 and 3,290.76 is: 4,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.81 : 6,507.14 = 3,290.76 : x
  2. Step 2: Convert to fraction form
    4,347.81/6,507.14 = 3,290.76/x
  3. Step 3: Cross multiply
    4,347.81x = 6,507.14 × 3,290.76
  4. Step 4: Simplify right side
    4,347.81x = 21,413,419.57
  5. Step 5: Solve for x
    x = 21,413,419.57/4,347.81
  6. Step 6: Final answer
    x = 4,925.10

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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.