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Finding the Fourth Proportional to 4,660.17, 6,985.55 and 2,316.57

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Solution

The fourth proportional to 4,660.17, 6,985.55 and 2,316.57 is: 3,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.17 : 6,985.55 = 2,316.57 : x
  2. Step 2: Convert to fraction form
    4,660.17/6,985.55 = 2,316.57/x
  3. Step 3: Cross multiply
    4,660.17x = 6,985.55 × 2,316.57
  4. Step 4: Simplify right side
    4,660.17x = 16,182,503.98
  5. Step 5: Solve for x
    x = 16,182,503.98/4,660.17
  6. Step 6: Final answer
    x = 3,472.51

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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.