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Finding the Fourth Proportional to 5,434.95, 8,152.88 and 1,737.71

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Solution

The fourth proportional to 5,434.95, 8,152.88 and 1,737.71 is: 2,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.95 : 8,152.88 = 1,737.71 : x
  2. Step 2: Convert to fraction form
    5,434.95/8,152.88 = 1,737.71/x
  3. Step 3: Cross multiply
    5,434.95x = 8,152.88 × 1,737.71
  4. Step 4: Simplify right side
    5,434.95x = 14,167,291.65
  5. Step 5: Solve for x
    x = 14,167,291.65/5,434.95
  6. Step 6: Final answer
    x = 2,606.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.