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Finding the Fourth Proportional to 5,389.86, 7,438.68 and 3,032.01

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Solution

The fourth proportional to 5,389.86, 7,438.68 and 3,032.01 is: 4,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.86 : 7,438.68 = 3,032.01 : x
  2. Step 2: Convert to fraction form
    5,389.86/7,438.68 = 3,032.01/x
  3. Step 3: Cross multiply
    5,389.86x = 7,438.68 × 3,032.01
  4. Step 4: Simplify right side
    5,389.86x = 22,554,152.15
  5. Step 5: Solve for x
    x = 22,554,152.15/5,389.86
  6. Step 6: Final answer
    x = 4,184.55

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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.