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Finding the Fourth Proportional to 5,157.36, 7,733.64 and 1,870.32

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Solution

The fourth proportional to 5,157.36, 7,733.64 and 1,870.32 is: 2,804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.36 : 7,733.64 = 1,870.32 : x
  2. Step 2: Convert to fraction form
    5,157.36/7,733.64 = 1,870.32/x
  3. Step 3: Cross multiply
    5,157.36x = 7,733.64 × 1,870.32
  4. Step 4: Simplify right side
    5,157.36x = 14,464,381.56
  5. Step 5: Solve for x
    x = 14,464,381.56/5,157.36
  6. Step 6: Final answer
    x = 2,804.61

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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.