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Finding the Fourth Proportional to 3,655.92, 5,484 and 1,058.88

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Solution

The fourth proportional to 3,655.92, 5,484 and 1,058.88 is: 1,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.92 : 5,484 = 1,058.88 : x
  2. Step 2: Convert to fraction form
    3,655.92/5,484 = 1,058.88/x
  3. Step 3: Cross multiply
    3,655.92x = 5,484 × 1,058.88
  4. Step 4: Simplify right side
    3,655.92x = 5,806,897.92
  5. Step 5: Solve for x
    x = 5,806,897.92/3,655.92
  6. Step 6: Final answer
    x = 1,588.35

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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.