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Finding the Fourth Proportional to 4,458.48, 6,686.81 and 1,537

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Solution

The fourth proportional to 4,458.48, 6,686.81 and 1,537 is: 2,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.48 : 6,686.81 = 1,537 : x
  2. Step 2: Convert to fraction form
    4,458.48/6,686.81 = 1,537/x
  3. Step 3: Cross multiply
    4,458.48x = 6,686.81 × 1,537
  4. Step 4: Simplify right side
    4,458.48x = 10,277,626.97
  5. Step 5: Solve for x
    x = 10,277,626.97/4,458.48
  6. Step 6: Final answer
    x = 2,305.19

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Why These Related Problems?

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