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Finding the Fourth Proportional to 4,606.08, 6,908.96 and 1,528

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Solution

The fourth proportional to 4,606.08, 6,908.96 and 1,528 is: 2,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.08 : 6,908.96 = 1,528 : x
  2. Step 2: Convert to fraction form
    4,606.08/6,908.96 = 1,528/x
  3. Step 3: Cross multiply
    4,606.08x = 6,908.96 × 1,528
  4. Step 4: Simplify right side
    4,606.08x = 10,556,890.88
  5. Step 5: Solve for x
    x = 10,556,890.88/4,606.08
  6. Step 6: Final answer
    x = 2,291.95

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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.