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Finding the Fourth Proportional to 5,582.79, 7,684.92 and 4,826.22

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Solution

The fourth proportional to 5,582.79, 7,684.92 and 4,826.22 is: 6,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.79 : 7,684.92 = 4,826.22 : x
  2. Step 2: Convert to fraction form
    5,582.79/7,684.92 = 4,826.22/x
  3. Step 3: Cross multiply
    5,582.79x = 7,684.92 × 4,826.22
  4. Step 4: Simplify right side
    5,582.79x = 37,089,114.60
  5. Step 5: Solve for x
    x = 37,089,114.60/5,582.79
  6. Step 6: Final answer
    x = 6,643.47

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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.