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Finding the Fourth Proportional to 5,689.30, 7,848.14 and 3,564.38

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Solution

The fourth proportional to 5,689.30, 7,848.14 and 3,564.38 is: 4,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.30 : 7,848.14 = 3,564.38 : x
  2. Step 2: Convert to fraction form
    5,689.30/7,848.14 = 3,564.38/x
  3. Step 3: Cross multiply
    5,689.30x = 7,848.14 × 3,564.38
  4. Step 4: Simplify right side
    5,689.30x = 27,973,753.25
  5. Step 5: Solve for x
    x = 27,973,753.25/5,689.30
  6. Step 6: Final answer
    x = 4,916.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.