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Finding the Fourth Proportional to 3,526.74, 4,865.76 and 2,348.01

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Solution

The fourth proportional to 3,526.74, 4,865.76 and 2,348.01 is: 3,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.74 : 4,865.76 = 2,348.01 : x
  2. Step 2: Convert to fraction form
    3,526.74/4,865.76 = 2,348.01/x
  3. Step 3: Cross multiply
    3,526.74x = 4,865.76 × 2,348.01
  4. Step 4: Simplify right side
    3,526.74x = 11,424,853.14
  5. Step 5: Solve for x
    x = 11,424,853.14/3,526.74
  6. Step 6: Final answer
    x = 3,239.49

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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.