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Finding the Fourth Proportional to 3,437.66, 4,746.66 and 2,111.96

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Solution

The fourth proportional to 3,437.66, 4,746.66 and 2,111.96 is: 2,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.66 : 4,746.66 = 2,111.96 : x
  2. Step 2: Convert to fraction form
    3,437.66/4,746.66 = 2,111.96/x
  3. Step 3: Cross multiply
    3,437.66x = 4,746.66 × 2,111.96
  4. Step 4: Simplify right side
    3,437.66x = 10,024,756.05
  5. Step 5: Solve for x
    x = 10,024,756.05/3,437.66
  6. Step 6: Final answer
    x = 2,916.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.