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Finding the Fourth Proportional to 4,868.06, 7,303.01 and 1,580.27

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Solution

The fourth proportional to 4,868.06, 7,303.01 and 1,580.27 is: 2,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.06 : 7,303.01 = 1,580.27 : x
  2. Step 2: Convert to fraction form
    4,868.06/7,303.01 = 1,580.27/x
  3. Step 3: Cross multiply
    4,868.06x = 7,303.01 × 1,580.27
  4. Step 4: Simplify right side
    4,868.06x = 11,540,737.97
  5. Step 5: Solve for x
    x = 11,540,737.97/4,868.06
  6. Step 6: Final answer
    x = 2,370.70

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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.