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Finding the Fourth Proportional to 5,403.71, 8,094.33 and 4,746.40

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Solution

The fourth proportional to 5,403.71, 8,094.33 and 4,746.40 is: 7,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.71 : 8,094.33 = 4,746.40 : x
  2. Step 2: Convert to fraction form
    5,403.71/8,094.33 = 4,746.40/x
  3. Step 3: Cross multiply
    5,403.71x = 8,094.33 × 4,746.40
  4. Step 4: Simplify right side
    5,403.71x = 38,418,907.68
  5. Step 5: Solve for x
    x = 38,418,907.68/5,403.71
  6. Step 6: Final answer
    x = 7,109.72

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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.