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Finding the Fourth Proportional to 4,973.54, 7,461.36 and 1,686.56

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Solution

The fourth proportional to 4,973.54, 7,461.36 and 1,686.56 is: 2,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.54 : 7,461.36 = 1,686.56 : x
  2. Step 2: Convert to fraction form
    4,973.54/7,461.36 = 1,686.56/x
  3. Step 3: Cross multiply
    4,973.54x = 7,461.36 × 1,686.56
  4. Step 4: Simplify right side
    4,973.54x = 12,583,994.01
  5. Step 5: Solve for x
    x = 12,583,994.01/4,973.54
  6. Step 6: Final answer
    x = 2,530.19

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Why These Related Problems?

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