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Finding the Fourth Proportional to 5,705.04, 7,873.17 and 3,314.98

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Solution

The fourth proportional to 5,705.04, 7,873.17 and 3,314.98 is: 4,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.04 : 7,873.17 = 3,314.98 : x
  2. Step 2: Convert to fraction form
    5,705.04/7,873.17 = 3,314.98/x
  3. Step 3: Cross multiply
    5,705.04x = 7,873.17 × 3,314.98
  4. Step 4: Simplify right side
    5,705.04x = 26,099,448.61
  5. Step 5: Solve for x
    x = 26,099,448.61/5,705.04
  6. Step 6: Final answer
    x = 4,574.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.