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Finding the Fourth Proportional to 5,506.68, 7,602.16 and 4,244.98

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Solution

The fourth proportional to 5,506.68, 7,602.16 and 4,244.98 is: 5,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.68 : 7,602.16 = 4,244.98 : x
  2. Step 2: Convert to fraction form
    5,506.68/7,602.16 = 4,244.98/x
  3. Step 3: Cross multiply
    5,506.68x = 7,602.16 × 4,244.98
  4. Step 4: Simplify right side
    5,506.68x = 32,271,017.16
  5. Step 5: Solve for x
    x = 32,271,017.16/5,506.68
  6. Step 6: Final answer
    x = 5,860.34

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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.