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Finding the Fourth Proportional to 5,916.40, 8,875.97 and 1,756.32

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Solution

The fourth proportional to 5,916.40, 8,875.97 and 1,756.32 is: 2,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.40 : 8,875.97 = 1,756.32 : x
  2. Step 2: Convert to fraction form
    5,916.40/8,875.97 = 1,756.32/x
  3. Step 3: Cross multiply
    5,916.40x = 8,875.97 × 1,756.32
  4. Step 4: Simplify right side
    5,916.40x = 15,589,054.24
  5. Step 5: Solve for x
    x = 15,589,054.24/5,916.40
  6. Step 6: Final answer
    x = 2,634.89

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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.