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Finding the Fourth Proportional to 5,267.34, 7,902.18 and 1,804.50

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Solution

The fourth proportional to 5,267.34, 7,902.18 and 1,804.50 is: 2,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.34 : 7,902.18 = 1,804.50 : x
  2. Step 2: Convert to fraction form
    5,267.34/7,902.18 = 1,804.50/x
  3. Step 3: Cross multiply
    5,267.34x = 7,902.18 × 1,804.50
  4. Step 4: Simplify right side
    5,267.34x = 14,259,483.81
  5. Step 5: Solve for x
    x = 14,259,483.81/5,267.34
  6. Step 6: Final answer
    x = 2,707.15

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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.