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Finding the Fourth Proportional to 3,465.74, 5,199.12 and 1,710.80

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Solution

The fourth proportional to 3,465.74, 5,199.12 and 1,710.80 is: 2,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.74 : 5,199.12 = 1,710.80 : x
  2. Step 2: Convert to fraction form
    3,465.74/5,199.12 = 1,710.80/x
  3. Step 3: Cross multiply
    3,465.74x = 5,199.12 × 1,710.80
  4. Step 4: Simplify right side
    3,465.74x = 8,894,654.50
  5. Step 5: Solve for x
    x = 8,894,654.50/3,465.74
  6. Step 6: Final answer
    x = 2,566.45

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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.