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Finding the Fourth Proportional to 5,005.62, 6,907.32 and 3,117.42

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Solution

The fourth proportional to 5,005.62, 6,907.32 and 3,117.42 is: 4,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.62 : 6,907.32 = 3,117.42 : x
  2. Step 2: Convert to fraction form
    5,005.62/6,907.32 = 3,117.42/x
  3. Step 3: Cross multiply
    5,005.62x = 6,907.32 × 3,117.42
  4. Step 4: Simplify right side
    5,005.62x = 21,533,017.51
  5. Step 5: Solve for x
    x = 21,533,017.51/5,005.62
  6. Step 6: Final answer
    x = 4,301.77

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