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Finding the Fourth Proportional to 5,917.72, 8,830.16 and 5,297.14

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Solution

The fourth proportional to 5,917.72, 8,830.16 and 5,297.14 is: 7,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.72 : 8,830.16 = 5,297.14 : x
  2. Step 2: Convert to fraction form
    5,917.72/8,830.16 = 5,297.14/x
  3. Step 3: Cross multiply
    5,917.72x = 8,830.16 × 5,297.14
  4. Step 4: Simplify right side
    5,917.72x = 46,774,593.74
  5. Step 5: Solve for x
    x = 46,774,593.74/5,917.72
  6. Step 6: Final answer
    x = 7,904.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.