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Finding the Fourth Proportional to 4,347.80, 6,523.01 and 1,575.77

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Solution

The fourth proportional to 4,347.80, 6,523.01 and 1,575.77 is: 2,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.80 : 6,523.01 = 1,575.77 : x
  2. Step 2: Convert to fraction form
    4,347.80/6,523.01 = 1,575.77/x
  3. Step 3: Cross multiply
    4,347.80x = 6,523.01 × 1,575.77
  4. Step 4: Simplify right side
    4,347.80x = 10,278,755.59
  5. Step 5: Solve for x
    x = 10,278,755.59/4,347.80
  6. Step 6: Final answer
    x = 2,364.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.