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Finding the Fourth Proportional to 5,582.76, 7,707.78 and 4,984.22

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Solution

The fourth proportional to 5,582.76, 7,707.78 and 4,984.22 is: 6,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.76 : 7,707.78 = 4,984.22 : x
  2. Step 2: Convert to fraction form
    5,582.76/7,707.78 = 4,984.22/x
  3. Step 3: Cross multiply
    5,582.76x = 7,707.78 × 4,984.22
  4. Step 4: Simplify right side
    5,582.76x = 38,417,232.69
  5. Step 5: Solve for x
    x = 38,417,232.69/5,582.76
  6. Step 6: Final answer
    x = 6,881.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.