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Finding the Fourth Proportional to 5,503.84, 8,259.36 and 5,139.40

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Solution

The fourth proportional to 5,503.84, 8,259.36 and 5,139.40 is: 7,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.84 : 8,259.36 = 5,139.40 : x
  2. Step 2: Convert to fraction form
    5,503.84/8,259.36 = 5,139.40/x
  3. Step 3: Cross multiply
    5,503.84x = 8,259.36 × 5,139.40
  4. Step 4: Simplify right side
    5,503.84x = 42,448,154.78
  5. Step 5: Solve for x
    x = 42,448,154.78/5,503.84
  6. Step 6: Final answer
    x = 7,712.46

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