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Finding the Fourth Proportional to 5,507.46, 7,595.07 and 3,518.64

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Solution

The fourth proportional to 5,507.46, 7,595.07 and 3,518.64 is: 4,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.46 : 7,595.07 = 3,518.64 : x
  2. Step 2: Convert to fraction form
    5,507.46/7,595.07 = 3,518.64/x
  3. Step 3: Cross multiply
    5,507.46x = 7,595.07 × 3,518.64
  4. Step 4: Simplify right side
    5,507.46x = 26,724,317.10
  5. Step 5: Solve for x
    x = 26,724,317.10/5,507.46
  6. Step 6: Final answer
    x = 4,852.39

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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.