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Finding the Fourth Proportional to 3,749.01, 5,623.08 and 1,283.50

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Solution

The fourth proportional to 3,749.01, 5,623.08 and 1,283.50 is: 1,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.01 : 5,623.08 = 1,283.50 : x
  2. Step 2: Convert to fraction form
    3,749.01/5,623.08 = 1,283.50/x
  3. Step 3: Cross multiply
    3,749.01x = 5,623.08 × 1,283.50
  4. Step 4: Simplify right side
    3,749.01x = 7,217,223.18
  5. Step 5: Solve for x
    x = 7,217,223.18/3,749.01
  6. Step 6: Final answer
    x = 1,925.10

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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.