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Finding the Fourth Proportional to 5,108.40, 7,159.05 and 5,108.40

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Solution

The fourth proportional to 5,108.40, 7,159.05 and 5,108.40 is: 7,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.40 : 7,159.05 = 5,108.40 : x
  2. Step 2: Convert to fraction form
    5,108.40/7,159.05 = 5,108.40/x
  3. Step 3: Cross multiply
    5,108.40x = 7,159.05 × 5,108.40
  4. Step 4: Simplify right side
    5,108.40x = 36,571,291.02
  5. Step 5: Solve for x
    x = 36,571,291.02/5,108.40
  6. Step 6: Final answer
    x = 7,159.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.