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Finding the Fourth Proportional to 4,297.57, 5,931.14 and 2,409.66

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Solution

The fourth proportional to 4,297.57, 5,931.14 and 2,409.66 is: 3,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.57 : 5,931.14 = 2,409.66 : x
  2. Step 2: Convert to fraction form
    4,297.57/5,931.14 = 2,409.66/x
  3. Step 3: Cross multiply
    4,297.57x = 5,931.14 × 2,409.66
  4. Step 4: Simplify right side
    4,297.57x = 14,292,018.76
  5. Step 5: Solve for x
    x = 14,292,018.76/4,297.57
  6. Step 6: Final answer
    x = 3,325.61

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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.