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Finding the Fourth Proportional to 3,655.63, 5,484.01 and 1,189.87

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Solution

The fourth proportional to 3,655.63, 5,484.01 and 1,189.87 is: 1,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.63 : 5,484.01 = 1,189.87 : x
  2. Step 2: Convert to fraction form
    3,655.63/5,484.01 = 1,189.87/x
  3. Step 3: Cross multiply
    3,655.63x = 5,484.01 × 1,189.87
  4. Step 4: Simplify right side
    3,655.63x = 6,525,225.61
  5. Step 5: Solve for x
    x = 6,525,225.61/3,655.63
  6. Step 6: Final answer
    x = 1,784.98

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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.