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Finding the Fourth Proportional to 5,641.41, 8,454.35 and 4,804.14

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Solution

The fourth proportional to 5,641.41, 8,454.35 and 4,804.14 is: 7,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.41 : 8,454.35 = 4,804.14 : x
  2. Step 2: Convert to fraction form
    5,641.41/8,454.35 = 4,804.14/x
  3. Step 3: Cross multiply
    5,641.41x = 8,454.35 × 4,804.14
  4. Step 4: Simplify right side
    5,641.41x = 40,615,893.02
  5. Step 5: Solve for x
    x = 40,615,893.02/5,641.41
  6. Step 6: Final answer
    x = 7,199.60

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1.5x scale

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.