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Finding the Fourth Proportional to 3,746.51, 5,620.07 and 1,281.50

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Solution

The fourth proportional to 3,746.51, 5,620.07 and 1,281.50 is: 1,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.51 : 5,620.07 = 1,281.50 : x
  2. Step 2: Convert to fraction form
    3,746.51/5,620.07 = 1,281.50/x
  3. Step 3: Cross multiply
    3,746.51x = 5,620.07 × 1,281.50
  4. Step 4: Simplify right side
    3,746.51x = 7,202,094.81
  5. Step 5: Solve for x
    x = 7,202,094.81/3,746.51
  6. Step 6: Final answer
    x = 1,922.35

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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.