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Finding the Fourth Proportional to 5,071.52, 7,617.08 and 4,206.08

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Solution

The fourth proportional to 5,071.52, 7,617.08 and 4,206.08 is: 6,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.52 : 7,617.08 = 4,206.08 : x
  2. Step 2: Convert to fraction form
    5,071.52/7,617.08 = 4,206.08/x
  3. Step 3: Cross multiply
    5,071.52x = 7,617.08 × 4,206.08
  4. Step 4: Simplify right side
    5,071.52x = 32,038,047.85
  5. Step 5: Solve for x
    x = 32,038,047.85/5,071.52
  6. Step 6: Final answer
    x = 6,317.25

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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.