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Finding the Fourth Proportional to 4,653.39, 6,421.74 and 2,557.50

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Solution

The fourth proportional to 4,653.39, 6,421.74 and 2,557.50 is: 3,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.39 : 6,421.74 = 2,557.50 : x
  2. Step 2: Convert to fraction form
    4,653.39/6,421.74 = 2,557.50/x
  3. Step 3: Cross multiply
    4,653.39x = 6,421.74 × 2,557.50
  4. Step 4: Simplify right side
    4,653.39x = 16,423,600.05
  5. Step 5: Solve for x
    x = 16,423,600.05/4,653.39
  6. Step 6: Final answer
    x = 3,529.38

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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.