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Finding the Fourth Proportional to 3,711.51, 5,124.27 and 3,312.48

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Solution

The fourth proportional to 3,711.51, 5,124.27 and 3,312.48 is: 4,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.51 : 5,124.27 = 3,312.48 : x
  2. Step 2: Convert to fraction form
    3,711.51/5,124.27 = 3,312.48/x
  3. Step 3: Cross multiply
    3,711.51x = 5,124.27 × 3,312.48
  4. Step 4: Simplify right side
    3,711.51x = 16,974,041.89
  5. Step 5: Solve for x
    x = 16,974,041.89/3,711.51
  6. Step 6: Final answer
    x = 4,573.35

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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.