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Finding the Fourth Proportional to 5,123.86, 7,646.60 and 4,570.22

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Solution

The fourth proportional to 5,123.86, 7,646.60 and 4,570.22 is: 6,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.86 : 7,646.60 = 4,570.22 : x
  2. Step 2: Convert to fraction form
    5,123.86/7,646.60 = 4,570.22/x
  3. Step 3: Cross multiply
    5,123.86x = 7,646.60 × 4,570.22
  4. Step 4: Simplify right side
    5,123.86x = 34,946,674.79
  5. Step 5: Solve for x
    x = 34,946,674.79/5,123.86
  6. Step 6: Final answer
    x = 6,820.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.