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Finding the Fourth Proportional to 4,335, 6,504.21 and 2,253.70

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Solution

The fourth proportional to 4,335, 6,504.21 and 2,253.70 is: 3,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335 : 6,504.21 = 2,253.70 : x
  2. Step 2: Convert to fraction form
    4,335/6,504.21 = 2,253.70/x
  3. Step 3: Cross multiply
    4,335x = 6,504.21 × 2,253.70
  4. Step 4: Simplify right side
    4,335x = 14,658,538.08
  5. Step 5: Solve for x
    x = 14,658,538.08/4,335
  6. Step 6: Final answer
    x = 3,381.44

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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.