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Finding the Fourth Proportional to 5,587.10, 7,763.64 and 5,526.34

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Solution

The fourth proportional to 5,587.10, 7,763.64 and 5,526.34 is: 7,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.10 : 7,763.64 = 5,526.34 : x
  2. Step 2: Convert to fraction form
    5,587.10/7,763.64 = 5,526.34/x
  3. Step 3: Cross multiply
    5,587.10x = 7,763.64 × 5,526.34
  4. Step 4: Simplify right side
    5,587.10x = 42,904,514.28
  5. Step 5: Solve for x
    x = 42,904,514.28/5,587.10
  6. Step 6: Final answer
    x = 7,679.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.