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Finding the Fourth Proportional to 5,948.68, 8,210.04 and 3,591.16

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Solution

The fourth proportional to 5,948.68, 8,210.04 and 3,591.16 is: 4,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.68 : 8,210.04 = 3,591.16 : x
  2. Step 2: Convert to fraction form
    5,948.68/8,210.04 = 3,591.16/x
  3. Step 3: Cross multiply
    5,948.68x = 8,210.04 × 3,591.16
  4. Step 4: Simplify right side
    5,948.68x = 29,483,567.25
  5. Step 5: Solve for x
    x = 29,483,567.25/5,948.68
  6. Step 6: Final answer
    x = 4,956.32

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1.5x scale

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.