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Finding the Fourth Proportional to 5,495.16, 7,584.38 and 4,297.77

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Solution

The fourth proportional to 5,495.16, 7,584.38 and 4,297.77 is: 5,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.16 : 7,584.38 = 4,297.77 : x
  2. Step 2: Convert to fraction form
    5,495.16/7,584.38 = 4,297.77/x
  3. Step 3: Cross multiply
    5,495.16x = 7,584.38 × 4,297.77
  4. Step 4: Simplify right side
    5,495.16x = 32,595,920.83
  5. Step 5: Solve for x
    x = 32,595,920.83/5,495.16
  6. Step 6: Final answer
    x = 5,931.75

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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.