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Finding the Fourth Proportional to 5,356.86, 7,402.63 and 4,028.26

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Solution

The fourth proportional to 5,356.86, 7,402.63 and 4,028.26 is: 5,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.86 : 7,402.63 = 4,028.26 : x
  2. Step 2: Convert to fraction form
    5,356.86/7,402.63 = 4,028.26/x
  3. Step 3: Cross multiply
    5,356.86x = 7,402.63 × 4,028.26
  4. Step 4: Simplify right side
    5,356.86x = 29,819,681.31
  5. Step 5: Solve for x
    x = 29,819,681.31/5,356.86
  6. Step 6: Final answer
    x = 5,566.64

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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.