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Finding the Fourth Proportional to 7,654.19, 11,484 and 3,271.98

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Solution

The fourth proportional to 7,654.19, 11,484 and 3,271.98 is: 4,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.19 : 11,484 = 3,271.98 : x
  2. Step 2: Convert to fraction form
    7,654.19/11,484 = 3,271.98/x
  3. Step 3: Cross multiply
    7,654.19x = 11,484 × 3,271.98
  4. Step 4: Simplify right side
    7,654.19x = 37,575,418.32
  5. Step 5: Solve for x
    x = 37,575,418.32/7,654.19
  6. Step 6: Final answer
    x = 4,909.13

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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.