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Finding the Fourth Proportional to 5,200.40, 7,784.40 and 5,038.40

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Solution

The fourth proportional to 5,200.40, 7,784.40 and 5,038.40 is: 7,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.40 : 7,784.40 = 5,038.40 : x
  2. Step 2: Convert to fraction form
    5,200.40/7,784.40 = 5,038.40/x
  3. Step 3: Cross multiply
    5,200.40x = 7,784.40 × 5,038.40
  4. Step 4: Simplify right side
    5,200.40x = 39,220,920.96
  5. Step 5: Solve for x
    x = 39,220,920.96/5,200.40
  6. Step 6: Final answer
    x = 7,541.90

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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.