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Finding the Fourth Proportional to 5,805.87, 8,023.64 and 5,598.51

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Solution

The fourth proportional to 5,805.87, 8,023.64 and 5,598.51 is: 7,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.87 : 8,023.64 = 5,598.51 : x
  2. Step 2: Convert to fraction form
    5,805.87/8,023.64 = 5,598.51/x
  3. Step 3: Cross multiply
    5,805.87x = 8,023.64 × 5,598.51
  4. Step 4: Simplify right side
    5,805.87x = 44,920,428.78
  5. Step 5: Solve for x
    x = 44,920,428.78/5,805.87
  6. Step 6: Final answer
    x = 7,737.07

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1.5x scale

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.