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Finding the Fourth Proportional to 5,875.93, 8,815.11 and 1,980.64

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Solution

The fourth proportional to 5,875.93, 8,815.11 and 1,980.64 is: 2,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.93 : 8,815.11 = 1,980.64 : x
  2. Step 2: Convert to fraction form
    5,875.93/8,815.11 = 1,980.64/x
  3. Step 3: Cross multiply
    5,875.93x = 8,815.11 × 1,980.64
  4. Step 4: Simplify right side
    5,875.93x = 17,459,559.47
  5. Step 5: Solve for x
    x = 17,459,559.47/5,875.93
  6. Step 6: Final answer
    x = 2,971.37

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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.