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Finding the Fourth Proportional to 5,605.59, 8,409.62 and 1,710.30

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Solution

The fourth proportional to 5,605.59, 8,409.62 and 1,710.30 is: 2,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.59 : 8,409.62 = 1,710.30 : x
  2. Step 2: Convert to fraction form
    5,605.59/8,409.62 = 1,710.30/x
  3. Step 3: Cross multiply
    5,605.59x = 8,409.62 × 1,710.30
  4. Step 4: Simplify right side
    5,605.59x = 14,382,973.09
  5. Step 5: Solve for x
    x = 14,382,973.09/5,605.59
  6. Step 6: Final answer
    x = 2,565.83

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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.