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Finding the Fourth Proportional to 4,903.26, 7,353.05 and 1,782.50

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Solution

The fourth proportional to 4,903.26, 7,353.05 and 1,782.50 is: 2,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.26 : 7,353.05 = 1,782.50 : x
  2. Step 2: Convert to fraction form
    4,903.26/7,353.05 = 1,782.50/x
  3. Step 3: Cross multiply
    4,903.26x = 7,353.05 × 1,782.50
  4. Step 4: Simplify right side
    4,903.26x = 13,106,811.63
  5. Step 5: Solve for x
    x = 13,106,811.63/4,903.26
  6. Step 6: Final answer
    x = 2,673.08

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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.