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Finding the Fourth Proportional to 3,701.07, 5,551.83 and 1,509.75

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Solution

The fourth proportional to 3,701.07, 5,551.83 and 1,509.75 is: 2,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.07 : 5,551.83 = 1,509.75 : x
  2. Step 2: Convert to fraction form
    3,701.07/5,551.83 = 1,509.75/x
  3. Step 3: Cross multiply
    3,701.07x = 5,551.83 × 1,509.75
  4. Step 4: Simplify right side
    3,701.07x = 8,381,875.34
  5. Step 5: Solve for x
    x = 8,381,875.34/3,701.07
  6. Step 6: Final answer
    x = 2,264.72

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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.